Liapunov Functions and Stability in Control Theory

• Main Authors: Bacciotti, Andrea (Author, http://id.loc.gov/vocabulary/relators/aut), Rosier, Lionel (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2001.
• Edition: 1st ed. 2001.
• Series: Lecture Notes in Control and Information Sciences, 267
• Subjects: Control engineering.; Control and Systems Theory.

The main purpose of this work is to present a modern and self-contained treatment of the Liapunov method for stability analysis, in the framework of mathematical nonlinear control theory. We focus in particular on the problem of the existence of Liapunov functions (converse Liapunov theorems) and th...

Table of Contents:

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