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Synchronization criteria for multiple memristor-based neural networks with time delay and inertial term

查看全文 作  者:LI [1]Ning;CAO [2]JinDe 高影响力作者 机构地区:[1]College of Mathematics and Information Science, Henan University of Economics and Law;[2]School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University高影响力机构 出  处:《Science China(Technological Sciences)》索引2018年第61卷第4期,共11页高影响力期刊 基  金:supported by the National Natural Science Foundation of China(Grant Nos.61573096,61374079 and 61603125);the Chinese Scholarship Council(Grent No.201708410029);the'333 Engineering'Foundation of Jiangsu Province of China(Grant No.BRA2015286);Key Program of Henan Universities(Grant No.17A120001) 摘  要:This present work uses different methods to synchronize the inertial memristor systems with linear coupling. Firstly, the mathematical model of inertial memristor-based neural networks(IMNNs) with time delay is proposed, where the coupling matrix satisfies the diffusion condition, which can be symmetric or asymmetric. Secondly, by using differential inclusion method and Halanay inequality, some algebraic self-synchronization criteria are obtained. Then, via constructing effective Lyapunov functional, designing discontinuous control algorithms, some new sufficient conditions are gained to achieve synchronization of networks. Finally, two illustrative simulations are provided to show the validity of the obtained results, which cannot be contained by each other. 关 键 词:神经网络 同步 惯性 延期 时间 标准 LYAPUNOV 多重
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