UID:
almahu_9947357900202882
Format:
1 electronic text (xvii, 498 p.) :
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ill., digital file.
Edition:
2nd ed.
ISBN:
9780898719185 (electronic bk.)
Series Statement:
Classics in applied mathematics ; 42
Content:
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. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.
Note:
Originally published: Englewood Cliffs, N.J. : Prentice Hall, c1993.
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Introduction -- Nonlinear differential equations -- Second-order systems -- Approximate analysis methods -- Lyapunov stability -- Input-output stability -- Differential geometric methods -- Appendix A: Prevalence of differential equations with unique solutions -- Appendix B: Proof of the Kalman-Yacubovitch lemma -- Appendix C: Proof of the Frobenius theorem.
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Also available in print version.
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader.
Additional Edition:
Print version: ISBN 0898715261
Additional Edition:
ISBN 9780898715262
Language:
English
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