• DocumentCode
    957609
  • Title

    Location and stability of the high-gain equilibria of nonlinear neural networks

  • Author

    Vidyasagar, Mathukumalli

  • Author_Institution
    Centre for Artificial Intelligence & Robotics, Bangladore, India
  • Volume
    4
  • Issue
    4
  • fYear
    1993
  • fDate
    7/1/1993 12:00:00 AM
  • Firstpage
    660
  • Lastpage
    672
  • Abstract
    The author analyzes the number, location, and stability behavior of the equilibria of arbitrary nonlinear neural networks without resorting to energy arguments based on assumptions of symmetric interactions or no self-interactions. The class of networks studied consists of very general continuous-time continuous-state (CTCS) networks that contain the standard Hopfield network as a special case. The emphasis is on the case where the slopes of the sigmoidal nonlinearities become larger and larger
  • Keywords
    neural nets; stability; Hopfield network; continuous-time continuous-state networks; high-gain equilibria; location; nonlinear neural networks; sigmoidal nonlinearities; stability; Artificial intelligence; Artificial neural networks; Computer networks; Concurrent computing; Hopfield neural networks; Hypercubes; Intelligent robots; Neural networks; Neurons; Stability analysis;
  • fLanguage
    English
  • Journal_Title
    Neural Networks, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1045-9227
  • Type

    jour

  • DOI
    10.1109/72.238320
  • Filename
    238320