Nonlinear Systems: Analysis, Stability, and Control

by Shankar Sastry

Overview

There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.

Product Details

ISBN-13:	9781441931320
Publisher:	Springer New York
Publication date:	12/01/2010
Series:	Interdisciplinary Applied Mathematics , #10
Edition description:	Softcover reprint of hardcover 1st ed. 1999
Pages:	668
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

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.

Editorial Reviews

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."

From the Publisher