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

doi:10.1088/1674-1056/ac7209

Abstract 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.

Keywords: finite-time Mittag—Leffler synchronization fractional-order complex-valued memristive neural networks time delay

Received: 15 March 2022
Revised: 22 April 2022
Accepted manuscript online:

PACS:

02.30.Yy

(Control theory)

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

Corresponding Authors: Zhixia Ding
E-mail: zxding89@163.com

Cite this article:

Guan Wang(王冠), Zhixia Ding(丁芝侠), Sai Li(李赛), Le Yang(杨乐), and Rui Jiao(焦睿) Finite-time Mittag—Leffler synchronization of fractional-order complex-valued memristive neural networks with time delay 2022 Chin. Phys. B 31 100201

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

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