Abstract
This paper investigates drive-response synchronization for a class of neural networks with time-varying discrete and distributed delays (mixed delays) as well as discontinuous activations. Strict mathematical proof shows the global existence of Filippov solutions to neural networks with discontinuous activation functions and the mixed delays. State feedback controller and impulsive controller are designed respectively to guarantee global exponential synchronization of the neural networks. By using Lyapunov function and new analysis techniques, several new synchronization criteria are obtained. Moreover, lower bound on the convergence rate is explicitly estimated when state feedback controller is utilized. Results of this paper are new and some existing ones are extended and improved. Finally, numerical simulations are given to verify the effectiveness of the theoretical results.
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Acknowledgments
This work was jointly supported by the National Natural Science Foundation of China (NSFC) under Grants Nos. 61263020, 11101053, 61272530, and 11072059, and CityU Grants 7008188 and 7002868, and the Program of Chongqing Innovation Team Project in University under Grant No. KJTD201308, the Natural Science Foundation of Jiangsu Province of China under Grant BK2012741.
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Yang, X., Cao, J. & Ho, D.W.C. Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control. Cogn Neurodyn 9, 113–128 (2015). https://doi.org/10.1007/s11571-014-9307-z
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DOI: https://doi.org/10.1007/s11571-014-9307-z