On the exponential synchronization of stochastic jumping chaotic neural networks with mixed delays and sector-bounded non-linearities

Authors:
Yang Tang;Jian-an Fang;Qingying Miao
Affiliations:
College of Information Science and Technology, Donghua University, Shanghai 201620, PR China;College of Information Science and Technology, Donghua University, Shanghai 201620, PR China;College of Information Science and Technology, Donghua University, Shanghai 201620, PR China and Continue Education School, Shanghai Jiaotong University, Shanghai 200030, PR China
Venue:
Neurocomputing
Year:
2009

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Abstract

This paper is concerned with the problem of exponential synchronization for stochastic jumping chaotic neural networks (SJCNNs) with mixed delays and sector non-linearities. Based on Lyapunov-Krasovskii functional and free-weighting matrix method, a delay-dependent feedback controller with sector non-linearities is proposed to achieve the synchronization in mean square in terms of linear matrix inequalities (LMIs). The activation functions are assumed to be of more general descriptions. Finally, the corresponding simulation results show the effectiveness of the proposed criteria.