Absolute stability of nonlinear control systems
著者
書誌事項
Absolute stability of nonlinear control systems
（Mathematics and its applications, . Chinese series）
Kluwer Academic Publishers , Science Press, c1993
- : Kluwer
- : Science Press
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注記
Includes index
内容説明・目次
内容説明
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. It is for applied mathematicians, and engineers whose work involves control systems.
目次
- Principal theorems on global stability
- autonomous control systems
- special control systems
- non-autonomous and discrete control systems
- control systems with m non-linear control terms
- control systems described with FDE.
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