Stabilization of nonlinear systems by use of semidefinite Lyapunov functions

被引：11

作者：

Bensoubaya, M

Ferfera, A

Iggidr, A

机构：

[1] INRIA Lorraine, CONGE Project, F-57045 Metz 01, France

[2] Univ Metz, CNRS, UPRESA 70 35, ISGMP, F-57045 Metz 01, France

来源：

APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 07期

关键词：

nonlinear systems; stabilization; feedback; Lyapunov functions; semidefinite functions;

D O I：

10.1016/S0893-9659(99)00095-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：11 / 17

页数：7

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