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		Huizhong YANG,Li SHENG.[en_title][J].Control Theory and Technology,2009,7(1):1~8.[Copy]

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HuizhongYANG,LiSHENG
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Received:September 14, 2007Revised:June 04, 2008

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Pinning control of a generalized complex dynamical network model

Huizhong YANG, Li SHENG

(School of Communication and Control Engineering, Jiangnan University, Wuxi Jiangsu 214122, China)

Abstract:

This paper investigates the local and global synchronization of a generalized complex dynamical network model with constant and delayed coupling.Without assuming symmetry of the couplings, we proved that a single controller can pin the generalized complex network to a homogenous solution. Some previous synchronization results are generalized. In this paper, we first discuss how to pin an array of delayed neural networks to the synchronous solution by adding only one controller. Next, by using the Lyapunov functional method, some sufficient conditions are derived for the local and global synchronization of the coupled systems. The obtained results are expressed in terms of LMIs, which can be efficiently checked by the Matlab LMI toolbox. Finally, an example is given to illustrate the theoretical results.

Key words: Complex network Neural network Pinning control Synchronization Delayed coupling