• DocumentCode
    32759
  • Title

    Robust Synchronization of Multiple Memristive Neural Networks With Uncertain Parameters via Nonlinear Coupling

  • Author

    Shaofu Yang ; Zhenyuan Guo ; Jun Wang

  • Author_Institution
    Dept. of Mech. & Autom. Eng., Chinese Univ. of Hong Kong, Hong Kong, China
  • Volume
    45
  • Issue
    7
  • fYear
    2015
  • fDate
    Jul-15
  • Firstpage
    1077
  • Lastpage
    1086
  • Abstract
    This paper is concerned with the global robust synchronization of multiple memristive neural networks (MMNNs) with nonidentical uncertain parameters. A coupling scheme is introduced, in a general topological structure described by a direct or undirect graph, with a linear diffusive term and a discontinuous sign term. First, a set of sufficient conditions are derived based on the Lyapunov stability theory for ascertaining global robust synchronization of coupled MMNNs. Second, a pinning adaptive coupling method is proposed to ensure global synchronization without knowing the bound of parameter uncertainties. Two illustrative examples are discussed to substantiate the theoretical results.
  • Keywords
    Lyapunov methods; directed graphs; neural nets; stability; synchronisation; Lyapunov stability theory; MMNNs; direct graph; discontinuous sign term; general topological structure; global robust synchronization; linear diffusive term; multiple memristive neural networks; nonidentical uncertain parameters; nonlinear coupling scheme; pinning adaptive coupling method; sufficient conditions; uncertain parameters; undirect graph; Biological neural networks; Couplings; Manganese; Multi-layer neural network; Robustness; Synchronization; Uncertain systems; Global robust synchronization; memristive neural networks (MNNs); nonlinear coupling; pinning adaptive coupling;
  • fLanguage
    English
  • Journal_Title
    Systems, Man, and Cybernetics: Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    2168-2216
  • Type

    jour

  • DOI
    10.1109/TSMC.2014.2388199
  • Filename
    7018050