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Synchronization control of chaotic neural networks with time-varying and distributed delays

Authors :
Tao Li
Aiguo Song
Ying-qing Guo
Shumin Fei
Source :
Nonlinear Analysis: Theory, Methods & Applications. 71:2372-2384
Publication Year :
2009
Publisher :
Elsevier BV, 2009.

Abstract

This paper deals with the synchronization problem of chaotic neural networks with both interval time-varying and distributed time-varying delays. By introducing an improved Lyapunov–Krasovskii functional and employing definition on a convex set, a delay-dependent feedback controller is derived to achieve exponential synchronization with the help of a drive-response concept and a linear matrix inequality method. The addressed time-delays are interval ones and the limitation on the derivative of a time-varying delay being less than 1 is released. Moreover, the activation functions are assumed to be of more general descriptions, which generalizes and improves those existent methods. Finally, three numerical examples are given to show the effectiveness of the synchronization scheme.

Details

ISSN :
0362546X
Volume :
71
Database :
OpenAIRE
Journal :
Nonlinear Analysis: Theory, Methods & Applications
Accession number :
edsair.doi...........cd1000c2f1fa6f2872b4bccde0afcb9b