Finite-time Mittag-Leffler synchronization of fractional-order delayed memristive neural networks with parameters uncertainty and discontinuous activation functions

doi:10.1088/1674-1056/ab7803

中国物理B ›› 2020, Vol. 29 ›› Issue (4): 40202-040202.doi: 10.1088/1674-1056/ab7803

Finite-time Mittag-Leffler synchronization of fractional-order delayed memristive neural networks with parameters uncertainty and discontinuous activation functions

Chong Chen(陈冲), Zhixia Ding(丁芝侠), Sai Li(李赛), Liheng Wang(王利恒)

Hubei Key Laboratory of Optical Information and Pattern Recognition, School of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430205, China

收稿日期:2019-12-31 修回日期:2020-02-14 出版日期:2020-04-05 发布日期:2020-04-05
通讯作者: Zhixia Ding E-mail:zxding89@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61703312 and 61703313).

Finite-time Mittag-Leffler synchronization of fractional-order delayed memristive neural networks with parameters uncertainty and discontinuous activation functions

Chong Chen(陈冲), Zhixia Ding(丁芝侠), Sai Li(李赛), Liheng Wang(王利恒)

Hubei Key Laboratory of Optical Information and Pattern Recognition, School of Electrical and Information Engineering, Wuhan Institute of Technology, Wuhan 430205, China

Received:2019-12-31 Revised:2020-02-14 Online:2020-04-05 Published:2020-04-05
Contact: Zhixia Ding E-mail:zxding89@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61703312 and 61703313).

摘要/Abstract

摘要： The finite-time Mittag-Leffler synchronization is investigated for fractional-order delayed memristive neural networks (FDMNN) with parameters uncertainty and discontinuous activation functions. The relevant results are obtained under the framework of Filippov for such systems. Firstly, the novel feedback controller, which includes the discontinuous functions and time delays, is proposed to investigate such systems. Secondly, the conditions on finite-time Mittag-Leffler synchronization of FDMNN are established according to the properties of fractional-order calculus and inequality analysis technique. At the same time, the upper bound of the settling time for Mittag-Leffler synchronization is accurately estimated. In addition, by selecting the appropriate parameters of the designed controller and utilizing the comparison theorem for fractional-order systems, the global asymptotic synchronization is achieved as a corollary. Finally, a numerical example is given to indicate the correctness of the obtained conclusions.

关键词: fractional-order delayed memristive neural networks (FDMNN), parameters uncertainty, discontinuous activation functions, finite-time Mittag-Leffler synchronization

Abstract: The finite-time Mittag-Leffler synchronization is investigated for fractional-order delayed memristive neural networks (FDMNN) with parameters uncertainty and discontinuous activation functions. The relevant results are obtained under the framework of Filippov for such systems. Firstly, the novel feedback controller, which includes the discontinuous functions and time delays, is proposed to investigate such systems. Secondly, the conditions on finite-time Mittag-Leffler synchronization of FDMNN are established according to the properties of fractional-order calculus and inequality analysis technique. At the same time, the upper bound of the settling time for Mittag-Leffler synchronization is accurately estimated. In addition, by selecting the appropriate parameters of the designed controller and utilizing the comparison theorem for fractional-order systems, the global asymptotic synchronization is achieved as a corollary. Finally, a numerical example is given to indicate the correctness of the obtained conclusions.

Key words: fractional-order delayed memristive neural networks (FDMNN), parameters uncertainty, discontinuous activation functions, finite-time Mittag-Leffler synchronization

中图分类号: (Control theory)

02.30.Yy

陈冲, 丁芝侠, 李赛, 王利恒. Finite-time Mittag-Leffler synchronization of fractional-order delayed memristive neural networks with parameters uncertainty and discontinuous activation functions[J]. 中国物理B, 2020, 29(4): 40202-040202.

Chong Chen(陈冲), Zhixia Ding(丁芝侠), Sai Li(李赛), Liheng Wang(王利恒). Finite-time Mittag-Leffler synchronization of fractional-order delayed memristive neural networks with parameters uncertainty and discontinuous activation functions[J]. Chin. Phys. B, 2020, 29(4): 40202-040202.

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Finite-time Mittag-Leffler synchronization of fractional-order delayed memristive neural networks with parameters uncertainty and discontinuous activation functions

Finite-time Mittag-Leffler synchronization of fractional-order delayed memristive neural networks with parameters uncertainty and discontinuous activation functions

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