Absolute Stability of Nonlinear Control Systems
Xiaoxin Liao · 1993
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This volume presents an overview of some recent developments on the absolute stability of nonlinear control systems. Chapter 1 introduces the main tools and the principal results used in this book, such as Lyapunov functions, K-class functions, Dini-derivatives, M-matrices and the principal theorems on global stability. Chapter 2 presents the absolute stability theory of autonomous control systems and the well-known Lurie problem. Chapter 3 gives some simple algebraic necessary and sufficient conditions for the absolute stability of several special control systems. Chapter 4 discusses nonautonomous and discrete control systems. Chapter 5 deals with the absolute stability of control systems with m nonlinear control terms. Chapter 6 devotes itself to the absolute stability of control systems described by functional differential equations. The book concludes with a useful bibliography. For applied mathematicians, and engineers whose work involves control systems.
Book details
- Year
- 1993
- Language
- English
- Series
- Mathematics and Its Applications (Chinese Series) -- 5
- Publisher
- Springer Netherlands
- Editions
- 5
- Pages
- 178
- ISBN
- 9789401706100
Data source: Wikidata
