文献类型：期刊文献

中文题名：Synchronization criteria for multiple memristor-based neural networks with time delay and inertial term

英文题名：Synchronization criteria for multiple memristor-based neural networks with time delay and inertial term

作者：Li, Ning[1];Cao, JinDe[2,3]

第一作者：李宁

通讯作者：Li, N[1];Cao, JD[2];Cao, JD[3]

机构：[1]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China;[2]Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China;[3]Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China;[2]corresponding author), Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China;[3]corresponding author), Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2018

卷号：61

期号：4

起止页码：612-622

中文期刊名：中国科学：技术科学英文版

外文期刊名：SCIENCE CHINA-TECHNOLOGICAL SCIENCES

收录：;EI(收录号：20181004886099);Scopus(收录号：2-s2.0-85042935568);WOS:【SCI-EXPANDED(收录号:WOS:000430100900013)】；CSCD:【CSCD2017_2018】；

基金：This work was 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), and Key Program of Henan Universities (Grant No. 17A120001).

语种：英文

中文关键词：神经网络;同步;惯性;延期;时间;标准;Lyapunov;多重

外文关键词：memristor-based neural networks (MNNs); inertial term; synchronization; discontinuous control

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.
This present work uses different methods to synchronize the inertial memristor systems with linear coupling. Firstly, the math- ematical 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.