Lyapunov-based approach for finite time stability and stabilization

被引：0
|
作者：
Moulay, Emmanuel [1 ]
Perruquetti, Wilfrid [1 ]
机构：
[1] Univ Sci & Technol Lille, Lab Paul Painleve, UFR Math Pures & Appl, F-59651 Villeneuve Dascq, France
来源：
2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8 | 2005年
关键词：
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Finite time stability is investigated for continuous system x = f (x) which satisfies uniqueness of solutions in forward time. A necessary and sufficient condition is given for this class of systems using Lyapunov functions. Then, a necessary and sufficient condition is developed for finite time stabilization of class CLk-affine systems involving a class CL0 -settling time for the closed-loop system. Finally an explicit feedback control is given using a control Lyapunov function verifying a certain inequality.
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页码：4742 / 4747
页数：6
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