Formal Power Series Methods in Nonlinear Control Theory

W. Steven Gray Old Dominion University Norfolk, Virginia 23529 sgray@odu.edu

Versions

• June 15, 2021: Edition 1.0: Preface, Acknowledgments, Table of Contents, Chapters 1-3, References

• August 15 2021: Edition 1.1: Added Lemma 2.2, minor edits to proof of Theorem 2.15

• March 19 2022: Edition 1.2: Added Chapter 4, included more references

• April 9 2025: Edition 1.3: Added Chapter 5, revision summary

Citation

@BOOK{Gray_fps-book,
  author =  {W. S. Gray},
  title =   {Formal Power Series Methods in Nonlinear Control Theory},
  year =     2025,
  edition =   1.3,
  url =   {http://www.ece.odu.edu/$\sim$sgray/fps-book},
}

Copyright

This book is for personal non-commercial use only. The material is copyrighted by the author and may not be reproduced or redistribute in any medium or format without permission.

Remarks

• Chapter 6 and the appendices are written but need a final edit before being released.
• A companion Mathematica package NonCommutative Formal Power Series (NCFPS) is available.
• Comments, suggestions, and corrections are most welcome.