Mathematical Programming & Operations Research, Mathematics - Topology, Mathematical Equations - Differential

Nonlinear Systems Analysis

Name: Nonlinear Systems Analysis
Author: M. Vidyasagar
ISBN: 9780136234630

by Vidyasagar, M.

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Overview

When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. In addition, it includes valuable reference material in these chapters that is unavailable elsewhere. The text also features a large number of problems that allow readers to test their understanding of the subject matter and self-contained sections and chapters that allow readers to focus easily on a particular topic.
About the Authors

M. Vidyasagar is Executive Vice President of Tata Consultancy Services in Hyderabad, India. He has held numerous academic visiting positions with universities such as MIT, the University of California, and Tokyo Institute of Technology and has also held various consultancy positions within the field. In addition, he has published many articles in linear, nonlinear, and robust control theory; robotics; and statistical learning theory. He has authored or co-authored more than a half dozen books on these topics.