Liapunov Functions and Stability in Control Theory

Liapunov Functions and Stability in Control Theory

Author
Andrea Bacciotti, Lionel Rosier
Publication Year
2005
Publisher
Springer
Language
English
Document Type
Book
Faculty / Subject Heading
Computer Science

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 interest is especially motivated by applications to automatic control.


Keywords: Engineering / Differential Inclusions / Direct Liapunov Method / Nonlinear Systems / Automatic control / Control / Control theory / Nonlinear control / Nonlinear system / Stability / Stabilization