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Interdisciplinary Applied Mathematics #10: Nonlinear Systems

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Interdisciplinary Applied Mathematics #10: Nonlinear Systems Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Description:

Includes bibliographical references (p. [645]-660) and index.

Table of Contents

Linear vs. Nonlinear.- 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.

Product Details

ISBN:
9780387985138
Editor:
Marsden, J. E.
Editor:
Wiggins, S.
Editor:
Marsden, J. E.
Author:
Sastry, Shankar
Author:
Sastry, S.
Author:
Wiggins, S.
Publisher:
Springer
Location:
New York, NY
Subject:
Engineering - General
Subject:
Linear Programming
Subject:
Mathematical Analysis
Subject:
System analysis
Subject:
Nonlinear programming
Subject:
Nonlinear systems
Subject:
Syatem analysis
Subject:
Calculus of Variations and Optimal Control; Optimization
Subject:
Mathematics-Analysis General
Subject:
Calculus
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Mathematical optimization
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Interdisciplinary Applied Mathematics
Series Volume:
8399v. 10
Publication Date:
June 1999
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
694
Dimensions:
235 x 155 mm 2540 gr

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Related Subjects

Computers and Internet » Software Engineering » Systems Analysis and Design
Engineering » Engineering » General Engineering
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Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

Interdisciplinary Applied Mathematics #10: Nonlinear Systems New Hardcover
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Product details 694 pages Springer-Verlag - English 9780387985138 Reviews:
"Synopsis" by , 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.
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