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Nonlinear Systems Analysis

Nonlinear Systems Analysis

Nonlinear Systems Analysis

2nd Edition
M. Vidyasagar, Tata Consultancy Services, Hyderabad
October 2002
Paperback
9780898715262
£61.99
GBP
Paperback

    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.

    • New edition of the classic text
    • Rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations
    • Features a large number of problems that allow readers to test their understanding

    Product details

    October 2002
    Paperback
    9780898715262
    520 pages
    254 × 178 × 25 mm
    0.847kg
    Available

    Table of Contents

    • 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.