Nonlinear Systems Analysis
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 2002Paperback
9780898715262
520 pages
254 × 178 × 25 mm
0.847kg
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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.