Absolute Stability of Nonlinear Control Systems

Absolute Stability of Nonlinear Control Systems

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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. It is for applied mathematicians, and engineers whose work involves control systems.
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Product details

  • Hardback | 190 pages
  • 160.02 x 246.38 x 17.78mm | 136.08g
  • United States
  • English
  • REV ed.
  • bibliography, index
  • 0792319885
  • 9780792319887

Table of contents

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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