Stabilization of nonlinear systems by use of semidefinite Lyapunov functions

We give a sufficient condition for smooth stabilization of nonlinear control systems. This condition generalizes the well-known Jurdjevic-Quinn results in the sense that it uses nonnegative semidefinite Lyapunov functions rather than positive definite ones, and that it applies to nonaffine control s...

Full description

Saved in:
Bibliographic Details
Published in:Applied mathematics letters 1999, Vol.12 (7), p.11-17
Main Authors: Bensoubaya, M., Ferfera, A., Iggidr, A.
Format: Article
Language:English
Subjects:
Automatic
Dynamical Systems
Engineering Sciences
Feedback
Lyapunov functions
Mathematics
Nonlinear systems
Optimization and Control
Semidefinite functions
Stabilization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give a sufficient condition for smooth stabilization of nonlinear control systems. This condition generalizes the well-known Jurdjevic-Quinn results in the sense that it uses nonnegative semidefinite Lyapunov functions rather than positive definite ones, and that it applies to nonaffine control systems. Stabilizing feedback is explicitly computed.
ISSN:0893-9659
1873-5452
DOI:10.1016/S0893-9659(99)00095-6