• DocumentCode
    1134068
  • Title

    Stability analysis of neural-network interconnected systems

  • Author

    Hwang, Jiing-Dong ; Hsiao, Feng-Hsiag

  • Author_Institution
    Dept. of Electron. Eng., Jin-Wen Inst. of Technol., Taipei, Taiwan
  • Volume
    14
  • Issue
    1
  • fYear
    2003
  • fDate
    1/1/2003 12:00:00 AM
  • Firstpage
    201
  • Lastpage
    208
  • Abstract
    This paper is concerned with the stability problem of a neural-network (NN) interconnected system which consists of a set of NN models. First, a linear difference inclusion (LDI) state-space representation is established for the dynamics of each NN model. Subsequently, based on the LDI state-space representation, a stability criterion in terms of Lyapunov´s direct method is derived to guarantee the asymptotic stability of NN interconnected systems. Finally, a numerical example with simulations is given to demonstrate the results.
  • Keywords
    asymptotic stability; neural nets; stability criteria; state-space methods; Lyapunov direct method; linear difference inclusion; neural-network interconnected systems; stability analysis; stability criterion; state-space representation; Asymptotic stability; Biological neural networks; Control systems; Interconnected systems; Neural networks; Neurons; Numerical simulation; Stability analysis; Stability criteria; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Neural Networks, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9227
  • Type

    jour

  • DOI
    10.1109/TNN.2002.806643
  • Filename
    1176139