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

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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:13 Apr 2021 02:34
      URI:https://strathprints.strath.ac.uk/id/eprint/72069
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