Nonlinear Systems Analysis

This text provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations.

M. Vidyasagar (Author)

9780898715262, Society for Industrial and Applied Mathematics

Paperback / softback, published 1 October 2002

520 pages
25.4 x 17.8 x 2.5 cm, 0.847 kg

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.

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.

Subject Areas: Applied mathematics [PBW], Differential calculus & equations [PBKJ]