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Publications
Revised: April 9, 2025




Publications*


      2025
    1. N. Pham and W. S. Gray, `Parameter Dependent Chen-Fliess Series: Convergence and Continuity,' Proc. 59th Conference on Information Sciences and Systems, Baltimore, Maryland, 2025 (6 pages), (arXiv version).
    2. W. S. Gray, Formal Power Series Methods in Nonlinear Control Theory, Edition 1.3, 2025.
    3. W. S. Gray (with K. Ebrahimi-Fard and Venkatesh G. S.), `On the Post-Lie Structure in SISO Affine Feedback Control Systems,' Communications in Contemporary Mathematics, under review, (arXiv version).
    4. W. S. Gray and E. I. Verriest, `On Symmetries in Analytic Input-Output Systems,' IMA Journal of Mathematical Control and Information, under review, (arXiv version).
    5. M. Aminul Haq and W. S. Gray, `Input Independent Observers for Bilinear Systems Using Convex Optimization,' Proc. The 5th Modeling, Estimation and Control Conference, Pittsburgh, Pennsylvania , 2025, under review.
    6. W. S. Gray (with L. A. Duffaut Espinosa, K. Ebrahimi-Fard, and G. S. Venkatesh), `What is a Chen-Fliess Series?,' AMS Notices, under review.
    7. F. Boudaghi, W. S. Gray, and L. A. Duffaut Espinosa, `On the Convergence of Re-centered Chen-Fliess Series,' IEEE Control Systems Letters and Proc. 64th IEEE Conference on Decision and Control, Rio de Janeiro, Brazil, 2025, under review.

      2024
    8. W. S. Gray, N. Pham, and A. Schmeding, `Distributional Generating Series in Nonlinear Control Theory,' Proc. 58th Conference on Information Sciences and Systems, Princeton, New Jersey, 2024 (6 pages).
    9. W. S. Gray, K. Ebrahimi-Fard, and A. Schmeding, `Decompositions of Nonlinear Input-Output Systems to Zero the Output,' Systems & Control Letters, vol. 187, May 2024, article 105783 (8 pages), (arXiv version).
    10. M. A. Haq and W. S. Gray, `Zero Dynamics Attacks on Unknown Bilinear Systems: Case Study,' Proc. 7th IEEE International Conference on Industrial Cyber-Physical Systems, St. Louis, Missouri, 2024 (7 pages).
    11. E. I. Verriest, G. Dirr, and W. S. Gray, `Generalized Functions in the Study of Signals and Systems,' Proc. 26th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, 2024, pp. 1048-1053.

      2023
    12. W. S. Gray, K. Ebrahimi-Fard, and A. Schmeding, `Zeroing the Output of Nonlinear Systems Without Relative Degree,' Proc. 57th Conference on Information Sciences and Systems, Baltimore, Maryland, 2023 (6 pages).
    13. G. S. Venkatesh and W. S. Gray, `Formal Power Series Approach to Nonlinear Systems with Static Output Feedback,' International Journal of Control, vol. 96, no. 6, 2023, pp. 1619-1637, (arXiv version).
    14. W. S. Gray and E. I. Verriest, `Linear Operator Differential Equations with Applications to Linear Time-Varying Systems,' Proc. 59th Allerton Conference on Communication, Control, & Computing, Allerton Park, Illinois, 2023 (7 pages).
    15. L. A. Duffaut Espinosa, W. Steven Gray, and Ivan Perez Avellaneda, `Derivatives of Chen-Fliess Series with Applications to Optimal Control,' Proc. 62nd IEEE Conference on Decision and Control, Marina Bay Sands, Singapore, 2023, pp. 5945-5952.

      2022
    16. W. S. Gray (with M. Palmstrøm and A. Schmeding), `Continuity of Formal Power Series Products in Nonlinear Control Theory,' Foundations of Computational Mathematics, April 2022, https://doi.org/10.1007/s10208-022-09560-0 (30 pages), (arXiv version).
    17. W. S. Gray, Formal Power Series Methods in Nonlinear Control Theory, Edition 1.2, 2022.
    18. W. S. Gray, L. A. Duffaut Espinosa, and M. A. Haq, `Universal Zero Dynamics Attacks Using Only Input-Output Data,' Proc. 2022 American Control Conference, Atlanta, Georgia, 2022, pp. 4985-4991.
    19. W. S. Gray, `System Identification Entropy for Chen-Fliess Series and Their Interconnections,' Proc. 58th Allerton Conference on Communication, Control, & Computing, Allerton Park, Illinois, 2022 (6 pages).
    20. N. Pham and W. S. Gray, `Chen-Fliess Series for Linear Distributed Systems with One Spatial Dimension,' Proc. 26th International Conference on System Theory, Control and Computing, Sinaia, Romania, 2022, pp. 7-12.
    21. W. S. Gray, `Entropy of Generating Series and Interconnected Nonlinear Systems,' Symmetry, Integrability, and Geometry: Methods and Applications, vol. 18, 2022, article 082 (15 pages), (arXiv version).
    22. W. S. Gray, L. A. Duffaut Espinosa, and M. A. Haq, `Estimating Relative Degree of Nonlinear Systems Using Generating Series,' Proc. 61st IEEE Conference on Decision and Control, Cancun, Mexico, 2022, pp. 7333-7338.

      2021
    23. W. S. Gray and K. Ebrahimi-Fard, `Generating Series for Networks of Chen-Fliess Series,' Systems & Control Letters, vol. 147, no. 1, January 2021, article 104827 (8 pages), (arXiv version).
    24. W. S. Gray, K. Ebrahimi-Fard, and A. Schmeding, `Universal Zero Dynamics: SISO Case,' Proc. 55th Conference on Information Sciences and Systems, Baltimore, Maryland, 2021 (6 pages).
    25. W. S. Gray, Formal Power Series Methods in Nonlinear Control Theory, Edition 1.1, 2021.
    26. W. S. Gray (with R. Dahmen and A. Schmeding), `Sequences of Chen-Fliess Series in Identification and Machine Learning,' Proc. 24th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, IFAC Papers OnLine, vol. 54, no. 9, 2021, pp. 231-238, (arXiv version).
    27. G. S. Venkatesh and W. S. Gray, `Formal Power Series Approach to Nonlinear Systems with Static Output Feedback,' Proc. 24th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, UK, IFAC Papers OnLine, vol. 54, no. 9, 2021, pp. 192-198.
    28. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Additive Networks of Chen-Fliess Series: Local Convergence and Relative Degree,' Proc. 60th IEEE Conference on Decision and Control, Austin, Texas, 2021, pp. 4774-4779, (arXiv version).

      2020
    29. W. S. Gray (with K. Ebrahimi-Fard and D. Manchon), `Evaluating Generating Functions for Periodic Multiple Polylogarithms via Rational Chen-Fliess Series,' in Periods in Quantum Field Theory and Arithmetic, J. I. Burgos Gil, K. Ebrahimi-Fard, and H. Gangl, Eds., Springer Proceedings in Mathematics & Statistics 314, Springer Nature Switzerland AG, Cham, Switzerland, 2020, pp. 445-468, (arXiv version).
    30. W. S. Gray, G. S. Venkatesh, and L. A. Duffaut Espinosa, `Nonlinear System Identification for Multivariable Control via Discrete-Time Chen-Fliess Series,' Automatica, vol. 119, September, 2020, article 109085 (9 pages), (arXiv version).
    31. G. S. Venkatesh and W. S. Gray, `Shuffle-Rational Series: Recognizability and Realizations,' Proc. 24st International Conference on System Theory, Control and Computing, Sinaia, Romania, 2020, pp. 404-411.
    32. L. A. Duffaut Espinosa, W. S. Gray, and G. S. Venkatesh, `Learning Control for Voltage and Frequency Regulation of an Infinite Bus System,' Proc. 24st International Conference on System Theory, Control and Computing, Sinaia, Romania, 2020, pp. 800-806.
    33. W. S. Gray, `Nonlinear Matched Filters via Chen-Fliess Series,' Proc. 59th IEEE Conference on Decision and Control, Jeju Island, Republic of Korea, 2020, pp. 4796-4801.

      2019
    34. W. S. Gray and G. S. Venkatesh, `Relative Degree of Interconnected SISO Nonlinear Control Systems,' Systems & Control Letters, vol. 124, February 2019, pp. 99-105.
    35. W. S. Gray, G. S. Venkatesh, and L. A. Duffaut Espinosa, `Discrete-time Chen Series for Time Discretization and Machine Learning,' Proc. 53rd Conference on Information Sciences and Systems, Baltimore, Maryland, 2019 (6 pages).
    36. W. S. Gray, G. S. Venkatesh, and L. A. Duffaut Espinosa, `Combining Learning and Model Based Control: Case Study for Single-Input Lotka-Volterra System,' Proc. 2019 American Control Conference, Philadelphia, Pennsylvania, 2019, pp. 928-933.
    37. W. S. Gray, `Flat Outputs in Terms of SISO Operator Compositions,' Proc. 58th IEEE Conference on Decision and Control, Nice, France, 2019, pp. 8036-8041.
    38. G. S. Venkatesh, W. S. Gray, and L. A. Duffaut Espinosa, `Combining Learning and Model Based Multivariable Control,' Proc. 58th IEEE Conference on Decision and Control, Nice, France, 2019, pp. 1013-1018.

      2018
    39. W. S. Gray and G. S. Venkatesh, `Relative Degree of Interconnected SISO Nonlinear Control Systems,' Proc. 52nd Conference on Information Sciences and Systems, Princeton, New Jersey, 2018, pp. 261-266.
    40. J. R. Chávez-Fuentes, O. R. González, and W. S. Gray, `Stability, Performance and Sensitivity Analysis of I.I.D. Jump Linear Systems,' International Journal of Control, vol. 91, no. 6, 2018, pp. 1460-1472.
    41. L. A. Duffaut Espinosa, W. S. Gray, and K. Ebrahimi-Fard, `Dendriform-Tree Setting for Fully Non-commutative Fliess Operators,' IMA Journal of Mathematical Control and Information, vol. 35, June, 2018, pp. 491-521.
    42. W. S. Gray and L. A. Duffaut Espinosa, `Dynamic Output Feedback Invariants of Full Relative Degree Nonlinear SISO Systems,' Proc. 23rd International Symposium on the Mathematical Theory of Networks and Systems, Hong Kong, 2018, pp. 762-768.
    43. L. A. Duffaut Espinosa and W. S. Gray, `Fliess Operator Representations of Markov Jump Nonlinear Systems and their Parallel Interconnections,' Proc. 23rd International Symposium on the Mathematical Theory of Networks and Systems, Hong Kong, 2018, pp. 429-434.
    44. W. S. Gray (with L. A. Duffaut Espinosa and K. Ebrahimi-Fard), `Combinatorial Hopf Algebras for Interconnected Nonlinear Input-Output Systems with a View Towards Discretization,' in Discrete Mechanics, Geometric Integration and Lie-Butcher Series, K. Ebrahimi-Fard and M. Barbero Liñán, Eds., Springer Proceedings in Mathematics & Statistics, vol. 267, Springer Nature Switzerland AG, Cham, Switzerland, 2018, pp. 139-183.
    45. W. S. Gray (with K. Ebrahimi-Fard), `The Faà di Bruno Hopf Algebra for Multivariable Feedback Recursions in the Center Problem for Higher Order Abel Equations,' in Computation and Combinatorics in Dynamics, Stochastics and Control, The Abel Symposium, Rosendal, Norway, August 2016, Abel Symposia vol. 13, E. Celledoni, G. Di Nunno, K. Ebrahimi-Fard, and H. Z. Munthe-Kaas, Eds., Springer Nature Switzerland AG, Cham, Switzerland, 2018, pp. 265-296, (arXiv version).

      2017
    46. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Sensitivity of the Left Inverse of a SISO Analytic Nonlinear System,' Proc. 51st Conference on Information Sciences and Systems, Baltimore, Maryland, 2017 (6 pages).
    47. I. M. Winter-Arboleda, W. S. Gray, and L. A. Duffaut Espinosa, `On Global Convergence of Fractional Fliess Operators with Applications to Bilinear Systems,' Proc. 51st Conference on Information Sciences and Systems, Baltimore, Maryland, 2017 (6 pages).
    48. L. Berlin, W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `On the Performance of Antipode Algorithms for the Multivariable Output Feedback Hopf Algebra,' Proc. 51st Conference on Information Sciences and Systems, Baltimore, Maryland, 2017 (6 pages).
    49. W. S. Gray and K. Ebrahimi-Fard, `SISO Output Affine Feedback Transformation Group and Its Faà di Bruno Hopf Algebra,' SIAM Journal on Control and Optimization, vol. 55, no. 2, 2017, pp. 885-912, (arXiv version).
    50. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Discrete-Time Approximations of Fliess Operators,' Numerische Mathematik, vol. 137, no. 1, September 2017, pp. 35-62, (arXiv version).
    51. W. S. Gray (with K. Ebrahimi-Fard), `Center Problem, Abel Equation and the Faà di Bruno Hopf Algebra for Output Feedback,' International Mathematics Research Notices, vol. 2017, no. 17, 2017, pp. 5415-5450, (arXiv version).
    52. W. S. Gray, L. A. Duffaut Espinosa, and L. T. Kell, `Data-driven SISO Predictive Control Using Adaptive Discrete-time Fliess Operator Approximations,' Proc. 21st International Conference on System Theory, Control and Computing, Sinaia, Romania, 2017, pp. 383-388.
    53. L. A. Duffaut Espinosa and W. S. Gray, `Integration of Output Tracking and Trajectory Generation via Analytic Left Inversion,' Proc. 21st International Conference on System Theory, Control and Computing, Sinaia, Romania, 2017, pp. 802-807, (arXiv version).

      2016
    54. W. S. Gray (with L. A. Duffaut Espinosa and K. Ebrahimi-Fard), `A Combinatorial Hopf Algebra for Nonlinear Output Feedback Control Systems,' Journal of Algebra, vol. 453, 2016, pp. 609-643, (arXiv version).
    55. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Discrete-Time Approximations of Fliess Operators,' Proc. 2016 American Control Conference, Boston, Massachusetts, 2016, pp. 2433-2439.
    56. I. M. Winter-Arboleda, W. S. Gray, and L. A. Duffaut Espinosa, `Expanding the Class of Globally Convergent Fliess Operators,' Proc. 22nd International Symposium on the Mathematical Theory of Networks and Systems, Minneapolis, Minnesota, 2016, pp. 783-790.
    57. I. M. Winter-Arboleda, L. A. Duffaut Espinosa, and W. S. Gray, `Nonrecursively Interconnected Fliess Operators Preserve Global Convergence: An Expanded View,' Proc. 22nd International Symposium on the Mathematical Theory of Networks and Systems, Minneapolis, Minnesota, 2016, pp. 791-797.

      2015
    58. L. A. Duffaut Espinosa and W. S. Gray, `Functional Series Expansions for Continuous-Time Switched Systems,' Journal of Dynamical and Control Systems, vol. 21, no. 2, April 2015, pp. 211-237.
    59. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Analytic Left Inversion of SISO Lotka-Volterra Models,' Proc. 49th Conference on Information Sciences and Systems, Baltimore, Maryland, 2015 (6 pages).
    60. I. M. Winter-Arboleda, W. S. Gray, and L. A. Duffaut Espinosa, `Fractional Fliess Operators: Two Approaches,' Proc. 49th Conference on Information Sciences and Systems, Baltimore, Maryland, 2015 (6 pages).
    61. W. S. Gray and L. A. Duffaut Espinosa, `A Faà di Bruno Hopf Algebra for Analytic Nonlinear Feedback Control Systems,' in Faà di Bruno Hopf Algebras, Dyson-Schwinger Equations, and Lie-Butcher Series, K. Ebrahimi-Fard and F. Fauvet, Eds., IRMA Lectures in Mathematics and Theoretical Physics, Vol. 21, European Mathematical Society, Zürich, Switzerland, 2015, pp. 149-217.
    62. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Analytic Left Inversion of Multivariable Lotka-Volterra Models,' Proc. 54th IEEE Conference on Decision and Control, Osaka, Japan, 2015, pp. 6472-6477.

      2014
    63. W. S. Gray, `Affine Feedback Transformation Group for Nonlinear SISO Systems,' Proc. 21st International Symposium on the Mathematical Theory of Networks and Systems, Groningen, The Netherlands, 2014, pp. 297-302.
    64. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Recursive Algorithm for the Antipode in the SISO Feedback Product,' Proc. 21st International Symposium on the Mathematical Theory of Networks and Systems, Groningen, The Netherlands, 2014, pp. 1088-1093.
    65. W. S. Gray, M. Thitsa, and E. I. Verriest, `Functional Series Expansions for Nonlinear Input-Output Systems with Delay,' Proc. 19th World Congress of the International Federation of Automatic Control, Cape Town, South Africa, 2014, pp. 6794-6799.
    66. W. S. Gray, L. A. Duffaut Espinosa, and M. Thitsa, `Left Inversion of Analytic Nonlinear SISO Systems via Formal Power Series Methods,' Automatica, vol. 50, no. 9, September 2014, pp. 2381-2388.
    67. W. S. Gray, L. A. Duffaut Espinosa, and K. Ebrahimi-Fard, `Faà di Bruno Hopf Algebra of the Output Feedback Group for Multivariable Fliess Operators,' Systems & Control Letters, vol. 74, December 2014, pp. 64-73, (arXiv version).
    68. W. S. Gray, M. Thitsa, and L. A. Duffaut Espinosa, `Pre-Lie Algebra Characterization of SISO Feedback Invariants,' Proc. 53rd IEEE Conference on Decision and Control, Los Angeles, California, 2014, pp. 4807-4813.
    69. L. A. Duffaut Espinosa, W. S. Gray, and K. Ebrahimi-Fard, `Dendriform-Tree Setting for Fully Non-commutative Fliess Operators,' Proc. 53rd IEEE Conference on Decision and Control, Los Angeles, California, 2014, pp. 4814-4819, (arXiv version).

      2013
    70. R. Wang, W. S. Gray, O. R. González, and J. R. Chávez-Fuentes, `Tracking Performance of Recoverable Distributed Flight Control Systems Subject to High Intensity Radiated Fields,' IEEE Transactions on Aerospace and Electronic Systems, vol. 49, no. 1, January 2013, pp. 521-542.
    71. W. S. Gray and M. Thitsa, `System Interconnections and Combinatorial Integer Sequences,' Proc. 45th IEEE Southeastern Symposium on System Theory, Waco, Texas, 2013, pp. 135-140.
    72. M. Thitsa and W. S. Gray, `Controlling Actively Q-switched Laser Output by Nonlinear State Feedback,' ECS Transactions, Toronto, Canada, vol. 53, no. 4, pp. 151-160, 2013.
    73. A. Tejada, O. R. González, and W. S. Gray, `Stability Analysis of Stochastic Hybrid Jump Linear Systems Using a Markov Kernel Approach,' IEEE Transactions on Automatic Control, vol. 58, no. 12, December, 2013, pp. 3156-3168.
    74. W. S. Gray and L. A. Duffaut Espinosa, `Feedback Transformation Group for Nonlinear Input-Output Systems,' Proc. 52nd IEEE Conference on Decision and Control, Florence, Italy, 2013, pp. 2570-2575.

      2012
    75. W. S. Gray, `A Hopf Algebra for Product Connections of Nonlinear Input-Output Systems,' Proc. 44th IEEE Southeastern Symposium on System Theory, Jacksonville, Florida, 2012, pp. 226-230.
    76. M. Thitsa and W. S. Gray, `On the Radius of Convergence of Mixed Cascades of Analytic Nonlinear Input-Output Systems,' Proc. 44th IEEE Southeastern Symposium on System Theory, Jacksonville, Florida, 2012, pp. 231-236.
    77. M. Thitsa and W. S. Gray, `Volterra Series Analysis of Semiconductor Optical Amplifiers,' Proc. 46th Conference on Information Sciences and Systems, Princeton, New Jersey, 2012 (6 pages).
    78. L. A. Duffaut Espinosa, W. S. Gray, and M. Thitsa, `Cascaded Fliess Operators with Rough Path Inputs,' Proc. 20th International Symposium on the Mathematical Theory of Networks and Systems, Melbourne, Australia, 2012 (8 pages).
    79. W. S. Gray and Y. Wang, `Smooth Universal Inputs for Smooth Systems: A Formal Power Series Approach,' Proc. 20th International Symposium on the Mathematical Theory of Networks and Systems, Melbourne, Australia, 2012 (8 pages).
    80. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On Fliess Operators Driven by L2-Itô Processes,' Stochastics. An International Journal of Probability and Stochastic Processes, vol. 84, no. 4, August 2012, pp. 507-532.
    81. M. Thitsa and W. S. Gray, `On the Radius of Convergence of Interconnected Analytic Nonlinear Input-Output Systems,' SIAM Journal on Control and Optimization, vol. 50, no. 5, 2012, pp. 2786-2813.
    82. W. S. Gray, M. Thitsa, and L. A. Duffaut Espinosa, `Left Inversion of Analytic SISO Systems via Formal Power Series Methods,' Proc. 15th Latin American Control Conference, Lima, Peru, 2012 (6 pages).
    83. W. S. Gray and M. Thitsa, `A Unified Approach to Generating Series for Mixed Cascades of Analytic Nonlinear Input-Output Systems,' International Journal of Control, vol. 85, no. 11, November 2012, pp. 1737-1754 (corrected: 2/9/15).
    84. L. A. Duffaut Espinosa, W. S. Gray, and M. Thitsa, `Cascaded Analytic Nonlinear Systems Driven By Rough Path Inputs,' Proc. 51st IEEE Conference on Decision and Control, Maui, Hawaii, 2012, pp. 1259-1264.

      2011
    85. M. Thitsa and W. S. Gray, `On the Radius of Convergence of Cascaded Analytic Nonlinear Systems: The SISO Case,' Proc. 43rd IEEE Southeastern Symposium on System Theory, Auburn, Alabama, 2011, pp. 32-38.
    86. R. Wang, W. S. Gray, and O. R. González, `Experimental Validation of a Performance Model for a Distributed Recoverable Boeing 747 Flight Control System Subject to Digital Upsets,' Proc. 43rd IEEE Southeastern Symposium on System Theory, Auburn, Alabama, 2011, pp. 13-19.
    87. W. S. Gray and O. R. González, `Design and Analysis of Recoverable Flight Control Systems for Harsh Environments,' NASA Cooperative Agreement NNX07AD52A, NASA Langley Research Center, Hampton, Virginia, 2011.
    88. L. A. Duffaut Espinosa and W. S. Gray, `Functional Series Expansions For Continuous-Time Switched Systems,' Proc. 2011 American Control Conference, San Francisco, California, 2011, pp. 2607-2612.
    89. W. S. Gray and L. A. Duffaut Espinosa, `A Faà di Bruno Hopf Algebra for a Group of Fliess Operators with Applications to Feedback,' Systems & Control Letters, vol. 60, no. 7, July 2011, pp. 441-449.
    90. W. S. Gray and L. A. Duffaut Espinosa, `A Faà di Bruno Hopf Algebra for a Group of Fliess Operators with Applications to Feedback,' Proc. 50th IEEE Conference on Decision and Control and European Control Conference, Orlando Florida, 2011, pp. 3848-3854 (invited).
    91. M. Thitsa and W. S. Gray, `On the Radius of Convergence of Cascaded Analytic Nonlinear Systems,' Proc. 50th IEEE Conference on Decision and Control and European Control Conference, Orlando Florida, 2011, pp. 3830-3835 (invited).

      2010
    92. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On the Absolute Global Convergence of Fliess Operators Driven by L2-Itô Processes,' Proc. 42nd IEEE Southeastern Symposium on System Theory, Tyler, Texas, 2010, pp. 280-285.
    93. W. S. Gray and M. Thitsa, `On the Radius of Convergence of Self-Excited Feedback Connected Analytic Nonlinear Systems: The Local Case,' Proc. 42nd IEEE Southeastern Symposium on System Theory, Tyler, Texas, 2010, pp. 116-121.
    94. J. R. Chávez-Fuentes, O. R. González, and W. S. Gray, `Performance Analysis of Fault Tolerant Control Systems with I.I.D. Upsets,' Proc. 2010 American Control Conference, Baltimore, Maryland, 2010, pp. 6197-6204.
    95. W. S. Gray, R. Wang, O. R. González, and J. R. Chávez-Fuentes, `Tracking Performance Analysis of a Distributed Recoverable Boeing 747 Flight Control System Subject to Digital Upsets,' Proc. 2010 American Control Conference, Baltimore, Maryland, 2010, pp. 548-554.
    96. A. Tejada, O. R. González, and W. S. Gray, `On Nonlinear Discrete-Time Systems Driven by Markov Chains,' Journal of the Franklin Institute, vol. 347, no. 5, June 2010, pp. 795-805.
    97. W. S. Gray, `On the Rationality of the Feedback Connection,' Proc. 19th International Symposium on the Mathematical Theory of Networks and Systems, Budapest, Hungary, 2010, pp. 1035-1040.
    98. A. M. Yates, W. Torres-Pomales, M. R. Malekpour, O. R. González, and W. Steven Gray, `Design of a High-Intensity Radiated Field Fault-Injection Experiment for a Fault-Tolerant Distributed Computation and Communication System,' Proc. 2010 Digital Avionics Systems Conference, Salt Lake City, Utah, 2010, pp. 4.E.3-1-15.
    99. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On the Local Convergence of Fliess Operators Driven by L2-Itô Random Processes,' Proc. 49th IEEE Conference on Decision and Control, Atlanta, Georgia, 2010, pp. 2631-2637.
    100. W. S. Gray and M. Thitsa, `On the Radius of Convergence of Self-Excited Feedback Connected Analytic Nonlinear Systems,' Proc. 49th IEEE Conference on Decision and Control, Atlanta, Georgia, 2010, pp. 7092-7098.

      2009
    101. H. Zhang, W. S. Gray, O. R. González, and A. V. Lakdawala, `Tracking Performance of a Recoverable Digital Flight Control System in Neutron Environments,' IEEE Transactions on Aerospace and Electronic Systems, vol. 45, no. 1, January 2009, pp. 321-335.
    102. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `Growth Bounds for Iterated Integrals of L2-Itô Random Processes,' Proc. 41st IEEE Southeastern Symposium on System Theory, Tullahoma, Tennessee, 2009, pp. 223-229.
    103. J. R. Chávez-Fuentes, O. R. González, and W. S. Gray, `Transformations of Markov Processes in Fault Tolerant Interconnected Systems,' Proc. 2009 American Control Conference, St. Louis, Missouri, 2009, pp. 227-232.
    104. W. S. Gray, `A Unified Approach to Generating Series for Nonlinear Cascade Systems,' Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009, pp. 8002-8007.
    105. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On Fliess Operators Driven by L2-Itô Random Processes,' Proc. 48th IEEE Conference on Decision and Control, Shanghai, China, 2009, pp. 7478-7484.
    106. W. S. Gray, H. Herencia-Zapana, L. A. Duffaut Espinosa, and O. R. González, `Bilinear System Interconnections and Generating Series of Weighted Petri Nets,' Systems & Control Letters, vol. 58, no. 12, December 2009, pp. 841-848.

      2008
    107. H. Zhang, W. S. Gray, and O. R. González, `Performance Analysis of Digital Flight Control Systems with Rollback Error Recovery Subject to Simulated Neutron-Induced Upsets,' IEEE Transactions on Control Systems Technology, vol. 16, no. 1, January 2008, pp. 46-59.
    108. W. S. Gray and Y. Wang, `Noncausal Fliess Operators and Their Shuffle Algebra,' International Journal of Control (special issue for the occasion of M. Fliess's 60th birthday), vol. 81, no. 3, March 2008, pp. 344-357.
    109. W. S. Gray and Y. Wang, `Formal Fliess Operators with Applications to Feedback Interconnections,' Proc. 18th International Symposium on the Mathematical Theory of Networks and Systems, Blacksburg, Virginia, 2008 (12 pages).
    110. O. R. González, J. R. Chávez-Fuentes, and W. S. Gray, `Towards a Metric for the Assessment of Safety Critical Control Systems,' Proc. 2008 AIAA Guidance, Navigation and Control Conference, Honolulu, Hawaii, 2008, Paper AIAA 2008-6804 (invited).
    111. W. S. Gray, R. Wang, and O. R. González, `A Performance Model for a Distributed Flight Control System Subject to Random Upsets,' Proc. 2008 IEEE Conference on Control Applications, San Antonio, Texas, 2008, pp. 918-923.
    112. A. Tejada, H. Herencia-Zapana, O. R. González, and W. S. Gray, `Mean Square Stability Analysis of Sampled-Data Supervisor Control Systems,' Proc. IEEE Conference on Control Applications, San Antonio, Texas, 2008, pp. 37-42.
    113. J. R. Chávez-Fuentes, O. R. González, and W. S. Gray, `Transformations of Markov Processes in Fault Tolerant Interconnected Systems,' Proc. IEEE Conference on Control Applications, Late News Paper, San Antonio, Texas, 2008.
    114. A. Tejada, O. R. González, and W. S. Gray, `Stability of Digital Control Systems Implemented in Error-Recoverable Computers,' International Journal of Control, vol. 81, no. 11, November 2008, pp. 1665-1681.
    115. W. S. Gray, H. Herencia-Zapana, L. A. Duffaut Espinosa, and O. R. González, `On Cascades of Bilinear Systems and Generating Series of Weighted Petri Nets,' Proc. 47th IEEE Conference on Decision and Control, Cancun, Mexico, 2008, pp. 4115-4120.

      2007
    116. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On the Rationality of the Composition Product: A Survey,' Proc. 39th IEEE Southeastern Symposium on System Theory, Macon, Georgia, 2007, pp. 238-243.
    117. J. R. Chavez-Fuentes, O. R. González, and W. S. Gray, `A Black-Scholes Approach to Satisfying the Demand in a Failure-Prone Manufacturing System,' Proc. 39th IEEE Southeastern Symposium on System Theory, Macon, Georgia, 2007, pp. 154-158.
    118. A. Tejada, H. Herencia-Zapana, O. R. González, and W. S. Gray, `Mean Square Stability Analysis of Hybrid Jump Linear Systems Using a Markov Kernel Approach,' Proc. 2007 American Control Conference, New York City, New York, 2007, pp. 3482-3487.
    119. W. S. Gray and O. R. González, `Advanced Concepts for Recoverable Controllers in Safety Critical Systems,' NASA Contractor Report NNL04AA03A, NASA Langley Research Center, Hampton, Virginia, 2007.
    120. L. A. Duffaut Espinosa, W. S. Gray, and O. R. González, `On the Bilinearity of Cascaded Bilinear Systems,' Proc. 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, pp. 5581-5587.
    121. A. Tejada, O. R. González, and W. S. Gray, `Stability Analysis of Hybrid Jump Linear Systems with Markov Inputs,' Proc. 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, pp. 6280-6285.
    122. H. Herencia-Zapana, O. R. González, and W. S. Gray, `Dynamically Colored Petri Net Representation of Nonlinear Sampled-Data Systems with Embedded Recovery Algorithms,' Proc. 46th IEEE Conference on Decision and Control, New Orleans, Louisiana, 2007, pp. 97-102.

      2006
    123. A. Tejada, O. R. González, and W. S. Gray, `A Measure-Theoretic Proof of the Markov Property for Hybrid Systems with Markovian Inputs,' Proc. 38th IEEE Southeastern Symposium on System Theory, Cookeville, Tennessee, 2006, pp. 328-332.
    124. A. V. Lakdawala, H. Zhang, O. R. González, and W. S. Gray, `Markovian Statistical Data Analysis of Single-Event Upsets Triggered by High Intensity Neutrons,' Proc. 38th IEEE Southeastern Symposium on System Theory, Cookeville, Tennessee, 2006, pp. 349-353.
    125. H. Herencia-Zapana, O. R. González, and W. S. Gray, `Invariant Measures of Nonlinear Sampled Data Systems with a Jump Linear Controller,' 9th International Workshop on Hybrid Systems: Computation and Control, Santa Barbara, California, poster session, 2006.
    126. W. S. Gray and E. I. Verriest, `Balanced Realizations Near Stable Invariant Manifolds,' Automatica, vol. 42, no. 4, April 2006, pp. 653-659.
    127. A. Tejada, O. R. González, and W. S. Gray, `On the Markov Property for Nonlinear Discrete-Time Systems with Markovian Inputs,' Proc. 2006 American Control Conference, Minneapolis, Minnesota, 2006, pp. 899-904.
    128. Y. Li and W. S. Gray, `The Formal Laplace-Borel Transform of Fliess Operators and the Composition Product,' International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 34217, 2006 (14 pages).
    129. W. S. Gray and Y. Wang, `Noncausal Fliess Operators and Their Shuffle Algebra,' Proc. 17th International Symposium on the Mathematical Theory of Networks and Systems, Kyoto, Japan, 2006, pp. 2805-2813.
    130. E. I. Verriest and W. S. Gray, `Geometry and Topology of the State Space via Balancing,' Proc. 17th International Symposium on the Mathematical Theory of Networks and Systems, Kyoto, Japan, 2006, pp. 840-848 (invited).
    131. W. S. Gray and O. R. González, `System Level Effects of Neutron-Induced Single Event Upsets (SEU's) on Digital Flight Control Systems,' NASA Contractor Report NCC-1-03026, NASA Langley Research Center, Hampton, Virginia, 2006.
    132. W. S. Gray and E. I. Verriest, `Algebraically Defined Gramians for Nonlinear Systems,' Proc. 45th IEEE Conference on Decision and Control, San Diego, California, 2006, pp. 3730-3735.
    133. H. Herencia-Zapana, O. R. González, and W. S. Gray, `Towards a Theory of Sampled-Data Piecewise-Deterministic Markov Processes,' Proc. 45th IEEE Conference on Decision and Control, San Diego, California, 2006, pp. 944-949.

      2005
    134. W. S. Gray and J. M. A. Scherpen, `Hankel Singular Value Functions from Schmidt Pairs for Nonlinear Input-Output Systems,' Systems & Control Letters, vol. 54, no. 2, February 2005, pp. 135-144.
    135. W. S. Gray and Y. Li, `On Feedback Connections of Analytic Nonlinear Systems and Combinatorics on Words,' Proc. 37th IEEE Southeastern Symposium on System Theory, Tuskegee, Alabama, 2005, pp. 429-434.
    136. H. Zhang, W. S. Gray, and O. R. González, `Performance Analysis of Recoverable Flight Control Systems Using Hybrid Dynamical Models,' Proc. 2005 American Control Conference, Portland, Oregon, 2005, pp. 2787-2792.
    137. A. Tejada, O. R. González, and W. S. Gray, `Asymptotic and Mean Square Stability Conditions for Hybrid Jump Linear Systems with Performance Supervision,' Proc. 2005 American Control Conference, Portland, Oregon, 2005, pp. 569-574.
    138. H. Zhang, W. S. Gray, and O. R. González, `Performance Analysis and Validation of a Recoverable Flight Control System in a Simulated Neutron Environment,' Proc. 2005 AIAA Guidance, Navigation and Control Conference, San Francisco, California, 2005, Paper 2005-6430 (invited).
    139. W. S. Gray and Y. Li, `Generating Series for Interconnected Analytic Nonlinear Systems,' SIAM Journal on Control and Optimization, vol. 44, no. 2, 2005, pp. 646-672.
    140. W. S. Gray and Y. Li, `Local Convergence of the Feedback Product via the Asymptotics of the Catalan Numbers,' Proc. 44th IEEE Conference on Decision and Control and 2005 European Control Conference, Seville, Spain, 2005, pp. 6140-6145.

      2004
    141. Y. Li and W. S. Gray, `The Formal Laplace-Borel Transform, Fliess Operators and the Composition Product,' Proc. 36th IEEE Southeastern Symposium on System Theory, Atlanta, Georgia, 2004, pp. 333-337.
    142. H. Zhang, W. S. Gray, and O. R. González, `Markov Jump-Linear Performance Models for Recoverable Flight Control Computers,' Proc. 36th IEEE Southeastern Symposium on System Theory, Atlanta, Georgia, 2004, pp. 408-412.
    143. O. R. González, H. Herencia-Zapana, and W. S. Gray, `Stochastic Stability of Sampled Data Systems with a Jump Linear Controller,' Proc. 36th IEEE Southeastern Symposium on System Theory, Atlanta, Georgia, 2004, pp. 256-260.
    144. W. S. Gray, `Book Review: Nonlinear System Identification - Input-Output Modeling Approach, Volumes 1&2 by R. Haber and L. Keviczky,' Automatica, 2004, pp. 901-903.
    145. S. Patilkulkarni, H. Herencia-Zapana, W. S. Gray, and O. R. González, `On the Stability of Jump-Linear Systems Driven by Finite-State Machines with Markovian Inputs,' Proc. 2004 American Control Conference, Boston, Massachusetts, 2004, pp. 2534-2539.
    146. A. Tejada, O. R. González, and W. S. Gray, `Towards Stability Analysis of Jump Linear Systems with State-Dependent and Stochastic Switching,' Proc. 2004 American Control Conference, Boston, Massachusetts, 2004, pp. 1893-1898.
    147. W. S. Gray and E. I. Verriest, `Balanced Realizations Near Stable Invariant Manifolds,' Proc. 16th International Symposium on the Mathematical Theory of Networks and Systems, Leuven, Belgium, 2004 (11 pages), (invited).
    148. O. R. González, H. Herencia-Zapana, and W. S. Gray, `Stochastic Stability of Nonlinear Sampled Data Systems with a Jump Linear Controller,' Proc. 43rd IEEE Conference on Decision and Control, The Atlantis Paradise Island, The Bahamas, 2004, pp. 4128-4133.
    149. E. I. Verriest and W. S. Gray, `Balanced Nonlinear Realizations,' Proc. 43rd IEEE Conference on Decision and Control, The Atlantis Paradise Island, The Bahamas, 2004, pp. 1164-1169.

      2003
    150. W. S. Gray, S. Patilkulkarni, and O. R. González, `Stochastic Stability of a Recoverable Computer Control System Modeled as a Finite-State Machine,' Proc. 2003 American Control Conference, Denver, Colorado, 2003, pp. 2240-2245.
    151. Y. Li, M. Song, and W. S. Gray, `A Self-Adaptive Predictive Congestion Control Model for Extreme Networks,' Proc. 2003 International Conference on Computer, Communication and Control Technologies, Orlando, Florida, 2003, pp. 327-332.
    152. K. Eure, C. M. Belcastro, W. S. Gray, and O. R. González, `Neutron Particle Effects on a Quad-Redundant Flight Control Computer,' Proc. 2003 Digital Avionics Systems Conference, Indianapolis, Indiana, 2003, pp. 1.B.2-1-8.
    153. W. S. Gray and O. R. González, `Stochastic Dynamical Models for Digital Control Systems in Electromagnetic Environments (EME),' NASA Contractor Report NCC-1-392, NASA Langley Research Center, Hampton, Virginia, 2003.
    154. W. S. Gray, H. Zhang, and O. R. González, `Closed-Loop Performance Measures for Flight Controllers Subject to Neutron-Induced Upsets,' Proc. 42nd Conference on Decision and Control, Maui, Hawaii, 2003, pp. 2465-2470.

      2002
    155. W. S. Gray and Y. Li, `Fliess Operators in Cascade and Feedback Systems,' Proc. 2002 Conference on Information Sciences and Systems, Princeton, New Jersey, 2002, pp. 173-178.
    156. W. S. Gray and J. M. A. Scherpen, `Hankel Singular Value Functions from Schmidt Pairs for Nonlinear Input-Output Systems,' Proc. 2002 American Control Conference, Anchorage, Alaska, 2002, pp. 3540-3545.
    157. O. R. González, A. Tejada, and W. S. Gray, `Analysis of Design Tradeoffs in Rollback Recovery Methods for Fault Tolerant Digital Control Systems,' Proc. 2002 American Control Conference, Anchorage, Alaska, 2002, pp. 4801-4806.
    158. W. S. Gray and Y. Wang, `Fliess Operators on Lp Spaces: Convergence and Continuity,' Systems & Control Letters, vol. 46, no. 2, June 2002, pp. 67-74.
    159. W. S. Gray and Y. Li, `Interconnected Systems of Fliess Operators,' Proc. 15th International Symposium on the Mathematical Theory of Networks and Systems, South Bend, Indiana, 2002 (16 pages).
    160. W. S. Gray, S. Patilkulkarni, and O. R. González, `Towards Hybrid Models of Recoverable Computer Control Systems,' Proc. 2002 Digital Avionics Systems Conference, Irvine, California, 2002, pp. 13.C.2-1-9.
    161. K. Fujimoto, J. M. A. Scherpen, and W. S. Gray, ``Hamiltonian Realizations of Nonlinear Adjoint Operators,' Automatica, vol. 38, no. 10, October 2002, pp. 1769-1775.
    162. J. M. A. Scherpen and W. S. Gray, `Nonlinear Hilbert Adjoints: Properties and Applications to Hankel Singular Value Analysis,' Nonlinear Analysis: Theory, Methods & Applications, vol. 51, no. 5, November 2002, pp. 883-901.
    163. O. R. González, W. S. Gray, and A. Tejada, `Analytical Tools for the Design and Verification of Safety Critical Control Systems,' 2001 SAE Transactions - Journal of Aerospace, vol. 110, Section 1, 2002, pp. 481-490.
    164. W. S. Gray and Y. Li, `Generating Series for Nonlinear Cascade and Feedback Systems,' Proc. 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, 2002, pp. 2720-2725.

      2001
    165. W. S. Gray, `Computing Hilbert Adjoints of Fliess Operators,' Proc. 2001 Conference on Information Sciences and Systems, Baltimore, Maryland, 2001, pp. 481-486.
    166. W. S. Gray and J. M. A. Scherpen, `Nonlinear Hilbert Adjoints: Properties and Applications to Hankel Singular Value Analysis,' Proc. 2001 American Control Conference, Arlington, Virginia, 2001, pp. 3582-3587.
    167. E. I. Verriest and W. S. Gray, `Discrete-Time Nonlinear Balancing,' Preprints of the 5th IFAC Nonlinear Control Systems Design Symposium, Saint Petersburg, Russia, 2001, pp. 515-520.
    168. O. R. González, W. S. Gray, and A. Tejada, `Analytical Tools for the Design and Verification of Safety Critical Control Systems,' Proc. 2001 International Conference on Lightning and Static Electricity, Seattle, Washington, 2001 (invited).
    169. W. S. Gray and J. M. A. Scherpen, `On the Nonuniqueness of Singular Value Functions and Balanced Nonlinear Realizations,' Systems & Control Letters, vol. 44, no. 3, October 2001, pp. 219-232.
    170. O. R. González, W. S. Gray, A. Tejada, and S. Patilkulkarni, `Stability Analysis of Upset Recovery Methods for Electromagnetic Interference,' Proc. 2001 Digital Avionics Systems Conference, Daytona Beach, Florida, 2001, pp. 1.C.4-1-9.
    171. W. S. Gray, `Nonlinear Adjoints of Fliess Operators,' Proc. 40th IEEE Conference on Decision and Control, Orlando, Florida, 2001, pp. 2625-2630.
    172. O. R. González, W. S. Gray, A. Tejada, and S. Patilkulkarni, `Stability Analysis of Electromagnetic Interference Upset Recovery Methods,' Proc. 40th IEEE Conference on Decision and Control, Orlando, Florida, 2001, pp. 4134-4139.
    173. E. I. Verriest and W. S. Gray, `Nonlinear Balanced Realizations,' Proc. 40th IEEE Conference on Decision and Control, Orlando, Florida, 2001, pp. 3250-3251.

      2000
    174. W. S. Gray and Y. Wang, `Properties of Fliess Operators on Lp-Spaces,' Proc. 2000 Conference on Information Sciences and Systems, Princeton, New Jersey, 2000, pp. FP8-1-6.
    175. J. M. A. Scherpen, K. Fujimoto, and W. S. Gray, `On Adjoints and Singular Value Functions for Nonlinear Systems,' Proc. 2000 Conference on Information Sciences and Systems, Princeton, New Jersey, 2000, pp. FP8-7-12.
    176. K. Fujimoto, J. M. A. Scherpen, and W. S. Gray, `Hamiltonian Realizations of Nonlinear Adjoint Operators,' Lagrangian and Hamiltonian Methods for Nonlinear Control, (IFAC Workshop, Princeton, New Jersey), N. E. Leonard and R. Ortega, Eds., Amsterdam: Elsevier Science, 2000, pp. 39-44.
    177. J. M. A. Scherpen and W. S. Gray, `State Dependent Matrices and Balanced Energy Functions for Nonlinear Systems,' Proc. 14th International Symposium on Mathematical Theory of Networks and Systems, Perpignan, France, 2000 (8 pages), (invited).
    178. E. I. Verriest and W. S. Gray, `Flow Balancing Nonlinear Systems,' Proc. 14th International Symposium on Mathematical Theory of Networks and Systems, Perpignan, France, 2000 (10 pages), (invited).
    179. C. P. Britcher, O. R. González, W. S. Gray, O. Gomeiz, J. Barkley, and A. Jafri, `Design of a Magnetic Suspension and Balance System for the Princeton/ONR High Reynolds Number Testing Facility,' Proc. 5th International Symposium on Magnetic Suspension Technology, Santa Barbara, California, 2000, pp. 675-686.
    180. O. R. González, W. S. Gray, and S. Patilkulkarni, `Analysis of Memory Bit Errors Induced by Electromagnetic Interference in Closed-Loop Digital Flight Control Systems,' Proc. 2000 Digital Avionics Systems Conference, Philadelphia, Pennsylvania, 2000, pp. 3.C.5-1-9 (invited).
    181. W. S. Gray, O. R. González, and M. Dogan, `Stability Analysis of Digital Linear Flight Controllers Subject to Electromagnetic Disturbances,' IEEE Transactions on Aerospace and Electronic Systems, vol. 36, no. 4, October 2000, pp. 1204-1218.
    182. J. M. A. Scherpen and W. S. Gray, `Minimality and Local State Decompositions of a Nonlinear State Space Realization Using Energy Functions,' IEEE Transactions on Automatic Control, vol. 45, no. 11, November 2000, pp. 2079-2086.
    183. W. S. Gray, O. R. González, and S. Patilkulkarni, `Stability of Digital Control Systems Subject to Jump Linear Random Perturbations,' Proc. 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 1154-1159.
    184. W. S. Gray and Y. Wang, `Fliess Operators on Lp Spaces: Convergence and Continuity,' Proc. 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 4385-4390.
    185. J. M. A. Scherpen, K. Fujimoto, and W. S. Gray, `Hamiltonian Extensions, Hilbert Adjoints and Singular Value Functions for Nonlinear Systems,' Proc. 39th IEEE Conference on Decision and Control, Sydney, Australia, 2000, pp. 5102-5107.
    186. W. S. Gray and O. R. González, `Robust Stability and Performance of a Closed-Loop Computer Control System Subject to Electromagnetic Disturbances,' NASA Contractor Report NAS1-99093, NASA Langley Research Center, Hampton, Virginia, 2000.

      1999
    187. W. S. Gray and J. M. A. Scherpen, `On the Nonuniqueness of Singular Value Functions in Balanced Nonlinear Realizations,' Proc. 1999 Conference on Information Sciences and Systems, Baltimore, Maryland, 1999, pp. 729-734 (invited).
    188. W. S. Gray and B. Nabet, `Volterra Series Analysis and Synthesis of a Neural Network for Velocity Estimation,' IEEE Transactions on Systems, Man, and Cybernetics, vol. 29 (Part B), no. 2, April 1999, pp. 190-197.
    189. W. S. Gray, O. R. González, and M. Dogan, `Digital Linear State Feedback Control Subject to Electromagnetic Disturbances,' Proc. 1999 American Control Conference, San Diego, California, 1999, pp. 3500-3504.
    190. J. M. A. Scherpen and W. S. Gray, `On Singular Value Functions and Hankel Operators for Nonlinear Systems,' Proc. 1999 American Control Conference, San Diego, California, 1999, pp. 2360-2364.
    191. W. S. Gray, O. R. González, and M. Dogan, `Stochastic Perturbation Analysis of Computer Control Systems Subject to Electromagnetic Disturbances,' Proc. 1999 Conference on Control Applications, Kohala Coast-Island, Hawaii, 1999, pp. 1797-1802 (invited).
    192. W. S. Gray and E. I. Verriest, `Balancing Nonlinear Systems Near Attracting Invariant Manifolds,' Proc. 1999 European Control Conference, Karlsruhe, Germany, 1999.
    193. J. M. A. Scherpen and W. S. Gray, `Hankel Structure for Nonlinear Input-Output Systems and State-Space Realizations,' Proc. First Nonlinear Control Network Pedagogical School, Athens, Greece, 1999, pp. 331-363 (invited).
    194. W. S. Gray and J. Mesko, `Observability Functions for Linear and Nonlinear Systems,' Systems & Control Letters, vol. 38, no. 2, October 1999, pp. 99-113.
    195. W. S. Gray, O. R. González, and M. Dogan, `Stochastic Perturbation Models of Electromagnetic Disturbances in Closed-Loop Computer Controlled Flight Systems,' 1999 Digital Avionics Systems Conference, St. Louis, Missouri, 1999, pp. 10.C.4-1-8.
    196. W. S. Gray and J. M. A. Scherpen, `On the Nonuniqueness of Balanced Nonlinear Realizations,' Proc. 38th IEEE Conference on Decision and Control, Phoenix, Arizona, 1999, pp. 4736-4741.
    197. W. S. Gray and B. Nabet, `Modeling the Nonlinear Mapping in a Neural Based Motion Detector,' Proc. of the Second International Conference on Nonlinear Problems in Aviation and Aerospace, S. Sivasundaram, Ed., Cambridge: European Conference Publications, 1999, pp. 245-252 (invited).
    198. J. M. A. Scherpen and W. S. Gray, `On Singular Value Functions and Hankel Operators for Nonlinear Systems,' Book of Abstracts, 18th Benelux Meeting on Systems and Control, Houthalen-Helchteren, Belgium, 1999, p. 116.

      1998
    199. W. S. Gray and O. R. González, `Modeling Electromagnetic Disturbances in Closed-Loop Computer Controlled Flight Systems,' Proc. 1998 American Control Conference, Philadelphia, Pennsylvania, 1998, pp. 359-364 (invited).
    200. J. M. A. Scherpen and W. S. Gray, `Sufficient Conditions for Minimality of a Nonlinear Realization via Controllability and Observability Functions,' Proc. 1998 American Control Conference, Philadelphia, Pennsylvania, 1998, pp. 3349-3353.
    201. W. S. Gray and J. Mesko, `Energy Functions and Algebraic Gramians for Bilinear Systems,' Preprints of the 4th IFAC Nonlinear Control Systems Design Symposium, Enschede, The Netherlands, 1998, pp. 103-108.
    202. W. S. Gray and O. R. González, `EMI Models for Controller Analysis and Synthesis,' Proc. 1998 Digital Avionics Systems Conference, Seattle, Washington, 1998 (invited).
    203. W. S. Gray and J. M. A. Scherpen, `Hankel Operators and Gramians for Nonlinear Systems,' Proc. 37th IEEE Conference on Decision and Control, Tampa, Florida, 1998, pp. 1416-1421 (invited).
    204. E. I. Verriest and W. S. Gray, `Dynamics Near Limit Cycles: Model Reduction and Sensitivity,' Book of Abstracts, 1998 International Symposium on Mathematical Theory of Networks and Systems, Padova, Italy, 1998 (invited).
    205. J. M. A. Scherpen and W. S. Gray, `Sufficient Conditions for Minimality of a Nonlinear Realization via Controllability and Observability Functions,' Book of Abstracts, 17th Benelux Meeting on Systems and Control, Mierlo, The Netherlands, 1998, p. 117.
    206. W. S. Gray and O. R. González, `Stability Analysis and Augmentation of a Closed-Loop Computer Control System Subject to Electromagnetic Disturbances,' NASA Contractor Report NAS1-19858-108, NASA Langley Research Center, Hampton, Virginia, 1998.

      1997
    207. W. S. Gray and J. Mesko, `General Input Balancing Transformations for Nonlinear Systems,' Proc. 1997 Conference on Information Sciences and Systems, Baltimore, Maryland, 1997, pp. 264-269 (invited).
    208. Z. B. Hamsioglu and W. S. Gray, `Velocity Estimation via a Neural Network Enhanced by Classical Detection Algorithms,' Proc. 1997 Conference on Information Sciences and Systems, Baltimore, Maryland, 1997, pp. 896-901.
    209. D. J. Lane, W. S. Gray, and K. M. Murphy, `Linear H∞ Optimal Control of a Two Degree of Freedom Magnetic Suspension System,' Proc. 1997 American Control Conference, Albuquerque, New Mexico, 1997, pp. 1687-1691.
    210. W. S. Gray and J. Mesko, `General Input Balancing and Model Reduction for Linear and Nonlinear Systems,' Proc. 1997 European Control Conference, Brussels, Belgium, 1997.
    211. E. I. Verriest and W. S. Gray, `A Stochastic Approach to Control for Maximal Accuracy,' Proc. 36th IEEE Conference on Decision and Control, San Diego, California, 1997, pp. 1395-1396.
    212. J. M. A. Scherpen and W. S. Gray, `On Minimality and Similarity Invariance Issues for Nonlinear Systems,' Proc. of the Workshop: Mathematics for Systems, Saint Emilion, France, 1997, pp. 63-93.

      1996
    213. W. S. Gray and J. Mesko, `Controllability and Observability Functions for Model Reduction of Nonlinear Systems,' Proc. 1996 Conference on Information Sciences and Systems, Princeton, New Jersey, 1996, pp. 1244-1249 (invited).
    214. W. S. Gray and B. Nabet, `Volterra Series Analysis of a Neural Network for Velocity Estimation,' Proc. Computational Engineering in Systems Applications, 1996 IMACS Multiconference, Lille, France, 1996, pp. 926-931 (invited).

      1995
    215. E. I. Verriest and W. S. Gray, `A Geometric Approach to the Minimum Sensitivity Design Problem,' SIAM Journal on Control and Optimization, vol. 33, no. 3, May 1995, pp. 863-881.
    216. S. Bezick, I. Rusnak, and W. S. Gray, `Guidance of a Homing Missile Via Nonlinear Geometric Control Methods,' AIAA Journal of Guidance, Control, and Dynamics, vol. 18, no. 3, May-June 1995, pp. 441-448.
    217. D. J. Lane, R. McConnell, W. S. Gray, and K. M. Murphy, `Robust Linear Controller Design for a Two-Degree of Freedom Magnetic Suspension System,' Proc. 1995 Conference on Information Sciences and Systems, Baltimore, Maryland, 1995, pp. 273-278.
    218. S. Bezick, W. S. Gray, and I. Rusnak, `Application of Feedback Linearization to the Synthesis of Homing Guidance Laws,' Proc. 35th Israel Annual Conference on Aerospace Sciences, Tel Aviv, Israel, 1995, pp. 209-219.
    219. E. I. Verriest and W. S. Gray, `Optimal Control for Maximal Accuracy with Arbitrary Control Space Metric,' Proc. 34th IEEE Conference on Decision and Control, New Orleans, Louisiana, 1995, pp. 3914-3919.
    220. W. S. Gray and E. I. Verriest, `Minimum Sensitivity Design via Gradient Flows Techniques,' Proc. 34th IEEE Conference on Decision and Control, New Orleans, Louisiana, 1995, pp. 1091-1096 (invited).

      1994
    221. R. McConnell and W. S. Gray, `Sliding Mode Control of a Magnetic Suspension System Using Sampled-Data,' Proc. 1994 Conference on Information Sciences and Systems, Princeton, New Jersey, 1994, pp. 426-430.
    222. R. McConnell, D. J. Lane, and W. S. Gray, `Modeling and Performance Tradeoffs for Sliding Mode Control of a Magnetic Suspension System,' Proc. 1994 IEEE Regional NY/NJ Control Conference, Piscataway, New Jersey, 1994, pp. 141-144.
    223. D. J. Lane, R. McConnell, and W. S. Gray, `Force Modeling for the Control of a Two-Dimensional Magnetic Levitation System,' Proc. 1994 IEEE Regional NY/NJ Control Conference, Piscataway, New Jersey, 1994, pp. 149-152.
    224. E. I. Verriest and W. S. Gray, `A Geometric Approach to the Minimum Sensitivity Design Problem,' Proc. 33rd IEEE Conference on Decision and Control, Orlando, Florida, 1994, pp. 518-523 (invited).

      1993
    225. S. Bezick, I. Rusnak, and W. S. Gray, `Feedback Linearizing Control for the Guidance of a Homing Missile,' Proc. 1993 Conference on Information Sciences and Systems, Baltimore, Maryland, 1993, pp. 393-398.
    226. I. Rusnak, W. S. Gray, and A. Guez, `Generalizing the Certainty Equivalence Principle and Separation Theorems Beyond the Usual Heuristics,' in Proc. 1993 American Control Conference San Francisco, California, 1993, pp. 2965-2966.
    227. S. Bezick, I. Rusnak, and W. S. Gray, `Design of Guidance Law for Homing Missile via Feedback Linearization,' Proc. 1993 IEEE Regional Conference on Aerospace Control Systems, Thousand Oaks, California, 1993, pp. 729-733.
    228. W. S. Gray and E. I. Verriest, `Parametric Sensitivity of Nonlinear State Space Realizations,' Book of Abstracts, 1993 International Symposium on Mathematical Theory of Networks and Systems, Regensburg, Germany, 1993, p. 134 (invited).
    229. W. S. Gray, `Neural Control of Magnetic Suspension Systems,' The 1993 NASA-ODU American Society for Engineering Education (ASEE) Summer Faculty Fellowship Program, Hampton, Virginia, 1993, pp. 102-103.

      1992
    230. S. Mercurio, I. Rusnak, W. S. Gray, and M. Kam, `Controlling a Magnetic Levitation System via Feedback Linearization,' Proc. 1992 Conference on Information Sciences and Systems, Princeton, New Jersey, 1992, pp. 1030-1035.
    231. S. D. Goodman and W. S. Gray, `A Theorem on Maximum Entropy Compression of Ergodic Sequences,' Proc. 1992 Conference on Information Sciences and Systems, Princeton, New Jersey, 1992, pp. 873-877.
    232. M. Kam, Q. Zhu, and W. S. Gray, `Optimal Data Fusion of Correlated Local Decisions in Multiple Sensor Detection Systems,' IEEE Transactions on Aerospace and Electronic Systems, vol. 28, no. 3, July 1992, pp. 916-920.
    233. W. S. Gray, `Functional Expansion Representations of Artificial Neural Networks,' The 1992 NASA-ODU American Society for Engineering Education (ASEE) Summer Faculty Fellowship Program, Hampton, Virginia, 1992, pp. 121-123.

      1991
    234. I. Radivojevic, J. Herath, and W. S. Gray, `High-Performance DSP Architectures for Intelligence and Control Applications,' IEEE Control Systems Magazine, vol. 11, no. 4, June 1991, pp. 49-55.
    235. R. L. Kimber and W. S. Gray, `The Effects of Sampling on Feedback Linearization: A Case Study,' Proc. 1991 American Control Conference, Boston, Massachusetts, 1991, pp. 1059-1060.
    236. M. Kam, Q. Zhu, and W. S. Gray, `On Distributed Detection with Correlated Local Detectors,' Proc. 1991 American Control Conference, Boston, Massachusetts, 1991, pp. 2174-2175.
    237. R. L. Kimber and W. S. Gray, `On Sampled-Data Implementations of Feedback Linearizing Controllers,' Proc. 30th IEEE Conference on Decision and Control, Brighton, England, 1991, pp. 1873-1874.
    238. W. S. Gray, `The Effects of Parameter Quantization on Realizations of Nonlinear Input-Output System,' Book of Abstracts, 1991 International Symposium on Mathematical Theory of Networks and Systems, Kobe, Japan, 1991, p. 160.

      1990
    239. W. S. Gray and E. I. Verriest, `The Parametric Sensitivity of Bilinear Dynamical Systems,' in Realization and Modelling in System Theory, (M. A. Kaashoek, J. H. van Schuppen and A. C. M. Ran, eds.), Boston: Birkhäuser Boston Inc., 1990, pp. 369-378.
    240. A. Meystel, J. Herath, and W. S. Gray, eds., Proceedings of the 5th IEEE International Symposium on Intelligent Control, Volumes I and II, IEEE Computer Society Press, 1990.
    241. S. D. Goodman, W. S. Gray, and M. A. Brook, `A Novel Neural Network for Temporal Pattern Identification with Applications to Control Systems,' Proc. 5th IEEE International Symposium on Intelligent Control, Philadelphia, Pennsylvania, 1990, pp. 473-478.
    242. W. S. Gray, E. I. Verriest, and F. L. Lewis, `A Hankel Matrix Approach to Singular System Realization Theory,' Proc. 29th IEEE Conference on Decision and Control, Honolulu, Hawaii, 1990, pp. 73-78.

      1989
    243. W. S. Gray, `A Geometric Approach to the Parametric Sensitivity of Dynamical Systems,' Ph.D. Dissertation, Georgia Institute of Technology, Atlanta, Georgia 1989.
    244. W. S. Gray and E. I. Verriest, `On the Sensitivity of Generalized State-Space Systems,' Proc. 28th IEEE Conference on Decision and Control, Tampa, Florida, 1989, pp. 1337-1342.

      1988
    245. E. I. Verriest and W. S. Gray, `Robust Design Problems: A Geometric Approach,' in Linear Circuits, Systems and Signal Processing: Theory and Application, (C. I. Byrnes, C. F. Martin and R. E. Saeks, eds.), Amsterdam: Elsevier Science Publishers B. V., 1988, pp. 321-328.

      1987
    246. W. S. Gray and E. I. Verriest, `Optimality Properties of Balanced Realizations: Minimum Sensitivity,' Proc. 26th IEEE Conference on Decision and Control, Los Angeles, California, 1987, pp. 124-128.


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