Passivity and synchronization of coupled reaction-diffusion complex-valued memristive neural networks

Huang, Yanli and Hou, Jie and Yang, Erfu (2020) Passivity and synchronization of coupled reaction-diffusion complex-valued memristive neural networks. Applied Mathematics and Computation, 379. 125271. ISSN 0096-3003 (https://doi.org/10.1016/j.amc.2020.125271)

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Abstract

This paper considers two types of coupled reaction-diffusion complex-valued memristive neural networks (CRDCVMNNs). The nodes of the first type CRDCVMNN are coupled through their state and the second one is coupled by spatial diffusion coupling term. For the former, some novel criteria for the passivity and synchronization are derived by constructing an appropriate controller and utilizing some inequality techniques as well as Lyapunov functional method. For the latter, we establish some sufficient conditions which guarantee that this type of CRDCVMNNs can realize passivity and synchronization. Finally, the effectiveness and correctness of the acquired theoretical results are verified by two numerical examples.

ORCID iDs

Huang, Yanli, Hou, Jie and Yang, Erfu ORCID logoORCID: https://orcid.org/0000-0003-1813-5950;
  • Item type:Article
    ID code:72069
    Dates:
    Date
    Event
    15 August 2020
    Published
    13 April 2020
    Published Online
    22 March 2020
    Accepted
    Keywords:state coupling, spatial diffusion coupling,, memristive neural networks, synchronization, passivity, Mathematics, Computational Mathematics, Applied Mathematics
    Subjects:Science > Mathematics
    Department:Faculty of Engineering > Design, Manufacture and Engineering Management
    Depositing user: Pure Administrator
    Date deposited:16 Apr 2020 13:31
    Last modified:25 May 2023 10:40
    URI:https://strathprints.strath.ac.uk/id/eprint/72069
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