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Nonlinear Systems

by Shankar Sastry

ISBN-10: 9780387985138
ISBN-10: 0-387-98513-1
ISBN-13: 9780387985138
ISBN-13: 978-0-387-98513-8
Hardcover
1999-06-22
Springer


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Editorials


Product Description
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.

Reviews


Good book.
This is a good book devoted to nonlinear systems.
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.


An excellent nonlinear systems book
As a Ph.D student I found this book very helpful and I would like to recommend this book everyone involved in nonlinear systems. I also have Vidyasagar's (i wish there were more example problems) and Khalil's nonlinear systems(mainly devoted to Lyapunov analysis) books which are also good but I found this book much explanatory than others.


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