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Nonlinear systems analysis

Format Post in Mathematics BY M. Vidyasagar

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Nonlinear systems analysis
M.Nonlinear systems analysis Textbook Vidyasagar
Type: eBook
Released: 2002
Publisher: SIAM: Society for Industrial and Applied Mathematics
Page Count: 517
Format: djvu
Language: English
ISBN-10: 0898715261
ISBN-13: 9780898715262
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. Book Description 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.

Nonlinear systems analysis

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