Finite-time Mittag-Leffler synchronization of fractional-order complex-valued memristive neural networks with time delay  

作　　者：Guan Wang Zhixia Ding Sai Li Le Yang Rui Jiao 王冠;丁芝侠;李赛;杨乐;焦睿(Hubei Key Laboratory of Optical Information and Pattern Recognition,School of Electrical and Information Engineering,Wuhan Institute of Technology,Wuhan 430205,China)

机构地区：[1]Hubei Key Laboratory of Optical Information and Pattern Recognition,School of Electrical and Information Engineering,Wuhan Institute of Technology,Wuhan 430205,China

出　　处：《Chinese Physics B》2022年第10期297-306,共10页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 62176189 and 62106181);the Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) (Grant No. Y202002)。

摘　　要：Without dividing the complex-valued systems into two real-valued ones, a class of fractional-order complex-valued memristive neural networks(FCVMNNs) with time delay is investigated. Firstly, based on the complex-valued sign function, a novel complex-valued feedback controller is devised to research such systems. Under the framework of Filippov solution, differential inclusion theory and Lyapunov stability theorem, the finite-time Mittag-Leffler synchronization(FTMLS) of FCVMNNs with time delay can be realized. Meanwhile, the upper bound of the synchronization settling time(SST) is less conservative than previous results. In addition, by adjusting controller parameters, the global asymptotic synchronization of FCVMNNs with time delay can also be realized, which improves and enrich some existing results. Lastly,some simulation examples are designed to verify the validity of conclusions.

关 键 词：finite-time Mittag-Leffler synchronization fractional-order complex-valued memristive neural networks time delay 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]