Stratified semiconcave control-Lyapunov functions and the stabilization problem

被引：7
|
作者：
Rifford, L [1 ]
机构：
[1] Univ Lyon 1, Inst Girard Desargues, F-69622 Villeurbanne, France
来源：
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2005年 / 22卷 / 03期
关键词：
control-Lyapunov function; semiconcave function; feedback stabilization;
D O I：
10.1016/j.anihpc.2004.07.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a globally asymptotically controllable control system, we construct a control-Lyapunov function which is stratified semiconcave; that is, roughly speaking whose singular set has a Whitney stratification. Then we deduce the existence of smooth feedbacks which make the closed-loop system almost globally asymptotically stable. (c) 2005 Elsevier SAS. All rights reserved.
引用
收藏
页码：343 / 384
页数：42
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