Global impulsive exponential synchronization of stochastic perturbed chaotic delayed neural networks
Zhang Hua-Guang(张化光)a)b)†, Ma Tie-Dong(马铁东)b), Fu Jie(浮洁)b), and Tong Shao-Cheng(佟绍成)c)
a Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China; b School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; c Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China
Abstract In this paper, the global impulsive exponential synchronization problem of a class of chaotic delayed neural networks (DNNs) with stochastic perturbation is studied. Based on the Lyapunov stability theory, stochastic analysis approach and an efficient impulsive delay differential inequality, some new exponential synchronization criteria expressed in the form of the linear matrix inequality (LMI) are derived. The designed impulsive controller not only can globally exponentially stabilize the error dynamics in mean square, but also can control the exponential synchronization rate. Furthermore, to estimate the stable region of the synchronization error dynamics, a novel optimization control algorithm is proposed, which can deal with the minimum problem with two nonlinear terms coexisting in LMIs effectively. Simulation results finally demonstrate the effectiveness of the proposed method.
Received: 03 December 2008
Revised: 15 February 2009
Accepted manuscript online:
Fund: Project supported
by the National Natural Science Foundation of China (Grant Nos
60534010, 60774048, 60728307, 60804006 and 60521003), the National
High Technology Research and Development Program of China (Grant No
2006AA04Z183), Liaoning Provincial Natural Science Foundation, China
(Grant No 20062018), the State Key Development Program for Basic
Research of China (Grant No 2009CB320601) and 111 Project (Grant No
B08015).
Cite this article:
Zhang Hua-Guang(张化光), Ma Tie-Dong(马铁东), Fu Jie(浮洁), and Tong Shao-Cheng(佟绍成) Global impulsive exponential synchronization of stochastic perturbed chaotic delayed neural networks 2009 Chin. Phys. B 18 3742
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