Finite time stability conditions for non-autonomous continuous systems

被引:250
|
作者
Moulay, E. [1 ]
Perruquetti, W. [2 ]
机构
[1] IRCCyN UMR CNRS 6597, F-44321 Nantes 03, France
[2] Ecole Cent Lille, LAGIS UMR CNRS 8146, F-59651 Villeneuve Dascq, France
关键词
D O I
10.1080/00207170701650303
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 defined for continuous non-autonomous systems. Starting with a result from Haimo (1986) we then extend this result to n-dimensional non-autonomous systems through the use of smooth and non-smooth Lyapunov functions as in Perruquetti and Drakunov (2000). One obtains two different sufficient conditions and a necessary one for finite time stability of continuous non-autonomous systems.
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页码:797 / 803
页数:7
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