| STABILITY OF N-DIMENSIONAL LINEAR SYSTEMS WITH MULTIPLE DELAYS AND APPLICATION TO SYNCHRONIZATION |
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| 引用本文： | Weihua DENG Jinhu LU Changpin LI. STABILITY OF N-DIMENSIONAL LINEAR SYSTEMS WITH MULTIPLE DELAYS AND APPLICATION TO SYNCHRONIZATION[J]. 系统科学与复杂性, 2006, 19(2): 149-156. DOI: 10.1007/s11424-006-0149-6 |
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| 作者姓名： | Weihua DENG Jinhu LU Changpin LI |
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| 作者单位： | [1]School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China [2]Department of Mathematics, Shanghai University, Shanghai 200444, China. [3]Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China [4]Department of Ecology and Evolutionary Biology, Princeton University, NJ 08544, USA |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China under Grants 60304017, 20336040, and 60221301, the Scientific Research Startup Special Foundation on Excellent PhD Thesis and Presidential Award of Chinese Academy of Sciences, and the Tianyuan Foundation under Grant A0324651. |
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| 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.
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| 关 键 词： | 混沌 同步 多延迟线性系统 稳定性 |
| 收稿时间： | 2006-04-13 |
| 修稿时间： | 2006-04-13 |
Stability of N-Dimensional Linear Systems with Multiple Delays and Application to Synchronization |
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| Weihua Deng,Jinhu Lü,Changpin Li. Stability of N-Dimensional Linear Systems with Multiple Delays and Application to Synchronization[J]. Journal of Systems Science and Complexity, 2006, 19(2): 149-156. DOI: 10.1007/s11424-006-0149-6 |
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| Authors: | Weihua Deng Jinhu Lü Changpin Li |
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| Affiliation: | (1) School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China;(2) Department of Mathematics, Shanghai University, Shanghai, 200444, China;(3) Key Laboratory of Systems and Control, Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China;(4) Department of Ecology and Evolutionary Biology, Princeton University, NJ 08544, USA |
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| Abstract: | This paper further investigates the stability of the n-dimensional linear systems with mul- tiple delays.Using Laplace transform,we introduce a definition of characteristic equation for the n-dimensional linea 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 Chna's systems. |
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| Keywords: | Chaos synchronization multi-delay linear systems stability. |
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