Nonlinear Systems: Analysis, Stability, and Control: 10 (Interdisciplinary Applied Mathematics, 10) - Hardcover

Sastry, Shankar

Hardcover

ISBN 10: 0387985131 ISBN 13: 9780387985138

Publisher: Springer, 1999

Synopsis

Nonlinear Systems There has been much excitement over the emergence of fresh mathematical techniques for the analysis and control of nonlinear systems. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.

About this title

Review

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."

 

Synopsis

There has been a great deal of excitement over the last few years concerning the emergence of new mathematical techniques for the analysis and control of nonlinear systems: witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos and other simplified tools for the analysis of bifurcations, chaos and other complicated dynamical behaviour and the development of a comprehensive theory of nonlinear control. Coupled with this set of analytic advances has been the vast increase in computational power available both for the simulation of nonlinear systems as well as for the implementation in real time of sophisticated, real-time nonlinear control laws. Thus, technological advances have bolstered the impact of analytic advances and produced a tremendous variety of 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. The material presented in this book is culled from different 1st year graduate courses that the author has taught at MIT and at Berkeley.

Edition details

• Publisher: Springer
• Publication date: 1999
• ISBN 10: 0387985131
• ISBN 13: 9780387985138
• Binding: Hardcover
• Language: English
• Number of pages: 694