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9780898715262 Academic Inspection Copy

Nonlinear Systems Analysis

  • ISBN-13: 9780898715262
  • Publisher: SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED
    Imprint: SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED
  • By M. Vidyasagar
  • Price: AUD $195.00
  • Stock: 0 in stock
  • Availability: This book is temporarily out of stock, order will be despatched as soon as fresh stock is received.
  • Local release date: 30/12/2002
  • Format: Paperback (254.00mm X 178.00mm) 520 pages Weight: 847g
  • Categories: Numerical analysis [PBKS]
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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 provides a rigorous mathematical analysis of the behaviour 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 long chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential-geometric control theory. In addition, it includes a great deal of 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 in on a particular topic easily.
Preface; 1. Introduction; 2. Nonlinear differential equations; 3. Second-order systems; 4. Approximate analysis methods; 5. Lyapunov stability; 6. Input-output stability; 7. Differential geometric methods; Appendices; References; Index.
This text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations.
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