Absolute Stability of Nonlinear Control Systems

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Author: Liao Xiao-xin
Language: English
ISBN/ISSN: 7030035445
Published on: 1993-01
Hardcover

This volume presents an overview of some recent developments on the absolute stability of nonlinear control systems.

The contents are divided into six chapters as follows: chapter 1 introduces the main tools and the principal results used in this book, such as Liapunov functions, K-calss function, 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 of the absolute stability of several special 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. This book concludes with a useful bibliography.



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