Nonlinear Systems: Analysis, Stability, and Control (英语) 精装 – 1999年8月1日
From the reviews:
A.J. van der Schaft in: Nieuw Archief voor Wiskunde, 2000
"(...) the book is very much recommended to every mathematician/engineer/physicist interested in nonlinear systems, especially because the book crosses one of the existing academic borderlines and illustrates the richness of problems and applications for nonlinear analysis and design in various areas of engineering."
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
"…stands alone in providing an integrated view of both the areas of non-linear analysis and control, and of non-linear dynamic systems theory. It also complements previous works in that it includes a range of new topics…Through the broad range of topics treated, the careful attention to detail in treating both topics familiar to the non-linear community and new research problems, and the historical anecdotes accompanying the development of different areas, the book does a superb job of conveying the 20 years of research experience of the author, and the excitement and enthusiasm that he has for the field…Sastry’s book should be considered both as a research reference as well as a classroom textbook…Interesting worked examples are presented throughout, and a detailed set of exercises is included at the end of each chapter…Sastry’s book is a comprehensive text on non-linear analysis and control. He has succeeded in bringing to life a wide range of mathematical techniques through a great many examples and applications to real non-linear systems, and his exposition relays his knowledge and enthusiasm about the field."
1 Linear vs. Nonlinear.- 2 Planar Dynamical Systems.- 3 Mathematical Background.- 4 Input-Output Analysis.- 5 Lyapunov Stability Theory.- 6 Applications of Lyapunov Theory.- 7 Dynamical Systems and Bifurcations.- 8 Basics of Differential Geometry.- 9 Linearization by State Feedback.- 10 Design Examples Using Linearization.- 11 Geometric Nonlinear Control.- 12 Exterior Differential Systems in Control.- 13 New Vistas: Multi-Agent Hybrid Systems.- References.
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Compared to Vidyasagar's book, this book has more mathematical rigour, therefore, to follow it you should have a good Calculus/Linear Algebra /
Analysis background (I recommend to have good books of these subjects while reading Sastry).
Some topics are more intuitively than explicitly covered. The same thing occurs in the exercises at the end of the chapters. Because of this I think that you should not follow only this book in a first course on nonlinear systems. I recomend Khalil's and Isidori's book as parallel readings.