Abstract
Synchronization of coupled delayed switched neural networks (DSNNs) with impulsive time window is one of the most challenging problems in the field of complex networks. In this paper, some sufficient conditions ensuring the synchronization of coupled DSNNs with all subsystems self-synchronizing are presented. Then this results are extended to the following two cases: all subsystems are desynchronizing and some of subsystems are self-synchronizing. By applying switching Lyapunov function method, some general criteria which characterize the impulse and switching effects in aggregated form are given. Moreover, from our results, one can easily observes that the impulsive time window control strategy is more general and more applicable than the fixed impulses controllers. Finally, numerical simulations are presented to further demonstrate the effectiveness of the proposed results.
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Acknowledgments
This work is supported by Fundamental Research Funds for Central Universities (XDJK2015C075, SWU115014) and Natural Science Foundation Project of Chongqing CSTC (Grant No. cstc2015jcyjA40046), Chongqing Research Program of Basic Research and Frontier Technology (No. cstc2015jcyjBX0052). This research also is supported by the Natural Science Foundation of China (Grant Nos: 61374078, 61302180) and NPRP grant # NPRP 4-1162-1-181 from the Qatar National Research Fund (a member of Qatar Foundation).
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Wang, X., Wang, H., Li, C. et al. Synchronization of coupled delayed switched neural networks with impulsive time window. Nonlinear Dyn 84, 1747–1757 (2016). https://doi.org/10.1007/s11071-016-2602-y
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DOI: https://doi.org/10.1007/s11071-016-2602-y