Finite-Time Lag Synchronization of Memristive Neural Networks With Multi-Links via Adaptive Control
文献类型： 外文期刊
作者： Qin, Xiaoli 1 ; Wang, Cong 1 ; Li, Lixiang 2 ; Peng, Haipeng 2 ; Ye, Lu 4 ;
作者机构： 1.Beijing Univ Posts & Telecommun, Sch Software Engn, Beijing 100876, Peoples R China
2.Beijing Univ Posts & Telecommun, Natl Engn Lab Disaster Backup & Recovery, Beijing 100876, Peoples R China
3.Beijing Univ Posts & Telecommun, Key Lab Trustworthy Distributed Comp & Serv, Minist Educ, Beijing 100876, Peoples R China
4.Chinese Acad Trop Agr Sci, Inst Sci & Tech Informat, Haikou 571101, Hainan, Peoples R China
关键词： Synchronization; Delays; Memristors; Adaptive control; Biological neural networks; Adaptation models; Memristive neural networks with multi-links; finite-time lag synchronization; delay-dependent adaptive control; delay-independent adaptive control; distributed time-varying delays
期刊名称：IEEE ACCESS （ 影响因子：3.367； 五年影响因子：3.671 ）
ISSN： 2169-3536
年卷期： 2020 年 8 卷
页码：
收录情况： SCI
摘要： The finite-time lag synchronization problem of memristive neural networks with multi-links (MNNLs) is discussed with the adaptive controllers, and the discrete and distributed time-varying delays are included in the network models. With the Lyapunov functional method and the properties of inequality, two different finite-time methods are adopted to prove and compare the effects of the two proposed theorems, and three corollaries are obtained and to be analyzed. Using the assumptions of Lipschitz continuous and boundedness of the activation functions, three lemmas are derived to deal with the difficulty caused by the memristive jumping properties and synchronization lag feature, which make the proof of the theorems simple and clear. Based on that whether time-varying delays are included, with the adaptive control strategy, we design delay-independent and delay-dependent adaptive controllers with different adaptive parameters for the MNNLs respectively. Finally, two numerical simulations are given to show the effectiveness and correctness of the obtained theoretical results.
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