Absolute Stability of Nonlinear Control Systems

• Main Authors: Liao, Xiaoxin (Author), Yu, Pei (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2008.
• Edition: 2.
• Series: Mathematical Modelling: Theory and Applications, 25
• Subjects: Mathematics.; Differential equations.; Applied mathematics.; Engineering mathematics.; System theory.; Vibration.; Dynamical systems.; Dynamics.; Ordinary Differential Equations.; Systems Theory, Control.; Vibration, Dynamical Systems, Control.; Applications of Mathematics.

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...

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.