Weighted Average Pinning Synchronization for a Class of Coupled Neural Networks with Time-Varying Delays
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This paper deals with the pinning synchronization problem for a class of neural networks with time-varying delay and nonsymmetrical coupling. The weighted average of all the node states is selected as the controlled synchronization state. A pinning feedback controller is proposed, and some sufficient conditions are derived to guarantee the global asymptotical synchronization by use of the Lyapunov–Krasovskii function method. Consequently, the adaptive pinning synchronization is also investigated. Finally, a numerical example is given to show the effectiveness of the main results.
KeywordsCoupled neural networks (Adaptive) pinning synchronization Time-varying delays Lyapunov–Krasovskii function
This research was supported in part by the Projects of International Cooperation and Exchanges NSFC (61520106009), in part by the National Natural Science Foundation of China (61403027), in part by the Fundamental Research Funds for the Central Universities (FRF-TP-15-071A1), and in part by the Science Foundation of China Postdoctoral under Grant 2014M561543.
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