Finite/fixed-time synchronization control of coupled memristive neural networks

Finite-time and fixed-time synchronization (FAFS) of coupled memristive neural networks (CMNNs) with discontinuous feedback functions are explored in this paper. Firstly, a more comprehensive stability theory is systematically established. Secondly, by designing adaptive feedback controller and disc...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 356; no. 16; pp. 9928 - 9952
Main Authors Li, Jiarong, Jiang, Haijun, Hu, Cheng, Alsaedi, Ahmed
Format Journal Article
LanguageEnglish
Published Elmsford Elsevier Ltd 01.11.2019
Elsevier Science Ltd
Subjects
Computer simulation
Control stability
Control systems design
Feedback control
Feedback control systems
Finite element analysis
Liapunov functions
Neural networks
Time synchronization
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ISSN0016-0032
1879-2693
0016-0032
DOI10.1016/j.jfranklin.2019.09.015

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Summary:Finite-time and fixed-time synchronization (FAFS) of coupled memristive neural networks (CMNNs) with discontinuous feedback functions are explored in this paper. Firstly, a more comprehensive stability theory is systematically established. Secondly, by designing adaptive feedback controller and discontinuous feedback controller, both finite-time and fixed-time synchronization can be realized through regulating the main control parameter. Thirdly, 1-norm and quadratic-norm Lyapunov functions are considered simultaneously in this article, while in estimating the settling time, the former one is more accurate than the latter one under the same synchronization criteria. Finally, in numerical simulation, the analysis and comparison of the proposed controllers are given to show the effectiveness of the corresponding results.
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ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2019.09.015