Nonlinear Systems Analysis (Classics in Applied Mathematics) (No. 42)

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9780898715262: Nonlinear Systems Analysis (Classics in Applied Mathematics) (No. 42)

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.

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This second edition text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. Three chapters cover the topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory, with reference material unavailable elsewhere.

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.

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Book Description Society for Industrial Applied Mathematics,U.S., United States, 2002. Paperback. Book Condition: New. 2nd Revised edition. Language: English . Brand New Book. 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. Bookseller Inventory # AAN9780898715262

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Book Description Society for Industrial Applied Mathematics,U.S., United States, 2002. Paperback. Book Condition: New. 2nd Revised edition. Language: English . Brand New Book. 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. Bookseller Inventory # AAN9780898715262

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