Synchronization Criteria for an Array of Neutral-Type Neural Networks with Hybrid Coupling: A Novel Analysis Approach

Authors:
Huaguang Zhang;Dawei Gong;Zhanshan Wang;Dazhong Ma
Affiliations:
School of Information Science and Engineering, Northeastern University, Shenyang, China 110819;School of Information Science and Engineering, Northeastern University, Shenyang, China 110819;School of Information Science and Engineering, Northeastern University, Shenyang, China 110819;School of Information Science and Engineering, Northeastern University, Shenyang, China 110819
Venue:
Neural Processing Letters
Year:
2012

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Abstract

This paper is concerned with an array of neutral-type neural networks with hybrid nonlinear coupling, which is composed of discrete-delay coupling and distributed-delay coupling. The discrete-delay considered in this system is assumed to vary over an interval (0 h 1 驴驴 1(t) 驴 h 2), where the lower and the upper bounds are known. Based on Lyapunov---Krasovskii (L---K) functional and Kronecker product technique, by introducing several new free-weighting matrices, two novel criterions are acquired to ensure the global synchronization of the proposed networks, which are proved to be much less conservative than some exiting results. Moreover, the derivative of discrete-delay can take any value. Finally, numerical examples are provided to show the effectiveness of the proposed results.