Nonlinear Systems Analysis (Classics in Applied Mathematics, Series Number 42)

Vidyasagar, M.

ISBN 10: 0898715261 / ISBN 13: 9780898715262

Published by SIAM: Society for Industrial and Applied Mathematics, 2002

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Bibliographic Details

• Title: Nonlinear Systems Analysis (Classics in Applied Mathematics, Series Number 42)
• Publisher: SIAM: Society for Industrial and Applied Mathematics
• Publication Date: 2002
• Language: English
• ISBN 10: 0898715261
• ISBN 13: 9780898715262
• Binding: Soft cover
• Edition: 2nd Edition
• Condition: New

About this title

Synopsis

When the first edition of this book was published, 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. The second edition 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. It contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Moreover, valuable reference material included in these chapters is unavailable elsewhere. The text also features a large number of problems that allow readers to test their understanding, and self-contained sections and chapters that make particular topics more accessible.

About the Author

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.