• DocumentCode
    830438
  • Title

    Qualitative analysis and synthesis of a class of neural networks

  • Author

    Li, Jian Hua ; Michel, Anthony N. ; Porod, Wolfgang

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Notre Dame Univ., IN, USA
  • Volume
    35
  • Issue
    8
  • fYear
    1988
  • fDate
    8/1/1988 12:00:00 AM
  • Firstpage
    976
  • Lastpage
    986
  • Abstract
    The dynamic properties of a class of neural networks (which includes the Hopfield model as a special case) are investigated by studying the qualitative behavior of equilibrium points. The results fall into one of two categories: results pertaining to analysis (e.g., stability properties of an equilibrium, asymptotic behavior of solutions, etc.) and results pertaining to synthesis (e.g. the design of a neural network with prespecified equilibrium points which are asymptotically stable). Most (but not all) of the results presented are global, and their applicability is demonstrated by an example
  • Keywords
    differential equations; neural nets; stability criteria; Hopfield model; analysis; dynamic properties; equilibrium points; neural networks; qualitative behavior; stability properties; synthesis; Asymptotic stability; Differential equations; Ear; Hopfield neural networks; Network synthesis; Neural networks; Stability analysis; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.1844
  • Filename
    1844