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Nonlinear Systems : Analysis, Stability, and Control - Shankar Sastry

Nonlinear Systems

Analysis, Stability, and Control

Hardcover Published: 22nd June 1999
ISBN: 9780387985138
Number Of Pages: 668

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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.

Industry 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."


"...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."

Planar Dynamical Systems
Mathematical Background
Input - Output Analysis
Lyapunov Stability Theory
Applications of Lyapunov Theory
Dynamical Systems and Bifurcations
Basics of Differential Geometry
Linearization by State Feedback
Design Examples using Linearization
Geometric Nonlinear Control
Exterior Differential Systems in Control
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780387985138
ISBN-10: 0387985131
Series: Interdisciplinary Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 668
Published: 22nd June 1999
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.6 x 15.5  x 3.6
Weight (kg): 1.11