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Absolute Stability of Nonlinear Control Systems

Following the recent developments in the field of absolute stability, Professor Xiaoxin Liao, in conjunction with Professor Pei Yu, has created a second edition of his seminal work on the subject. Liao begins with an introduction to the Lurie problem and the Lurie control system, before moving on to...

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Main Authors: Liao, Xiaoxin. (Author, http://id.loc.gov/vocabulary/relators/aut), Yu, Pei. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2008.
Edition:2nd ed. 2008.
Series:Mathematical Modelling: Theory and Applications, 25
Subjects:
Differential equations.
System theory.
Vibration.
Dynamical systems.
Dynamics.
Applied mathematics.
Engineering mathematics.
Ordinary Differential Equations.
Systems Theory, Control.
Vibration, Dynamical Systems, Control.
Applications of Mathematics.
Online Access:https://doi.org/10.1007/978-1-4020-8482-9
Table of Contents:
  • Principal Theorems on Global Stability
  • Sufficient Conditions of Absolute Stability: Classical Methods
  • Necessary and Sufficient Conditions for Absolute Stability
  • Special Lurie-Type Control Systems
  • Nonautonomous Systems
  • Systems with Multiple Nonlinear Feedback Controls
  • Robust Absolute Stability of Interval Control Systems
  • Discrete Control Systems
  • Time-Delayed and Neutral Lurie Control Systems
  • Control Systems Described by Functional Differential Equations
  • Absolute Stability of Hopfield Neural Network
  • Application to Chaos Control and Chaos Synchronization.

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