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.

引用

页码：4742 / 4747

页数：6

共 14 条

[1]

Agarwal R. P., 1993, SER REAL ANAL, V6

[2]

[Anonymous], 1963, Theory and Application of Liapunov's Direct Method

[3] STABILIZATION WITH RELAXED CONTROLS [J].