Liapunov Functions and Stability in Control Theory

• Main Authors: Bacciotti, Andrea (Author), Rosier, Lionel (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Edition: 2nd Edition.
• Series: Communications and Control Engineering,
• Subjects: Engineering.; System theory.; Statistical physics.; Dynamical systems.; Vibration.; Dynamics.; Control engineering.; Robotics.; Mechatronics.; Control, Robotics, Mechatronics.; Systems Theory, Control.; Statistical Physics, Dynamical Systems and Complexity.; Vibration, Dynamical Systems, Control.

This book presents a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. A Particular focus is on the problem of the existence of Liapunov functions (converse Liapunov theorems) and their regularity, whose inte...

Table of Contents:

• Differential equations
• Time invariant systems
• Time varying systems
• Differential inclusions
• Additional properties of strict Liapunov functions
• Monotonicity and generalized derivatives.