Stability of N-dimensional linear systems with multiple delays and application to synchronization

被引：2
|
作者：
Deng W. [1 ,2 ]
Lü J. [3 ,4 ]
Li C. [2 ]
机构：
[1] School of Mathematics and Statistics, Lanzhou University
[2] Department of Mathematics, Shanghai University
[3] Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
[4] Department of Ecology and Evolutionary Biology, Princeton University
来源：
Journal of Systems Science and Complexity | 2006年 / 19卷 / 2期
基金：
中国国家自然科学基金;
关键词：
Chaos synchronization; Multi-delay linear systems; Stability;
D O I：
10.1007/s11424-006-0149-6
中图分类号：
学科分类号：
摘要：
This paper further investigates the stability of the n-dimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the n-dimensional linear systems with multiple delays. Moreover, one sufficient condition is attained for the Lyapunov globally asymptotical stability of the general multi-delay linear systems. In particular, our result shows that some uncommensurate linear delays systems have the similar stability criterion as that of the commensurate linear delays systems. This result also generalizes that of Chen and Moore (2002). Finally, this theorem is applied to chaos synchronization of the multi-delay coupled Chua's systems. © Springer Science + Business Media, Inc. 2006.
引用
收藏
页码：149 / 156
页数：7
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