Stability of NDimensional Linear Systems with Multiple Delays and Application to Synchronization
 Weihua Deng,
 Jinhu Lü,
 Changpin Li
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This paper further investigates the stability of the ndimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the ndimensional linear systems with multiple delays. Moreover, one sufficient condition is attained for the Lyapunov globally asymptotical stability of the general multidelay 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 multidelay coupled Chua’s systems.
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 Title
 Stability of NDimensional Linear Systems with Multiple Delays and Application to Synchronization
 Journal

Journal of Systems Science and Complexity
Volume 19, Issue 2 , pp 149156
 Cover Date
 20060601
 DOI
 10.1007/s1142400601496
 Print ISSN
 10096124
 Online ISSN
 15597067
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Keywords

 Chaos synchronization
 multidelay linear systems
 stability
 Authors

 Weihua Deng ^{(1)} ^{(2)}
 Jinhu Lü ^{(3)} ^{(4)}
 Changpin Li ^{(2)}
 Author Affiliations

 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