• DocumentCode
    1035132
  • Title

    On a class of globally stable neural circuits

  • Author

    Kaszkurewicz, Eugenius ; Bhaya, Amit

  • Author_Institution
    Dept. of Electr. Eng., Federal Univ. of Rio de Janeiro, Brazil
  • Volume
    41
  • Issue
    2
  • fYear
    1994
  • fDate
    2/1/1994 12:00:00 AM
  • Firstpage
    171
  • Lastpage
    174
  • Abstract
    The authors show that diagonal stability of the interconnection matrix leads to a simple proof of the existence, uniqueness, and global asymptotic stability of the equilibrium of a Hopfield-Tank neural circuit, without making some common restrictive assumptions used in earlier results. It is also shown that the same condition guarantees structural stability, which ensures the desirable property of persistence of global asymptotic stability under general C1 perturbations
  • Keywords
    Hopfield neural nets; circuit theory; matrix algebra; stability criteria; Hopfield-Tank neural circuit; diagonal stability; equilibrium; general C1 perturbations; global asymptotic stability; globally stable neural circuits; interconnection matrix; structural stability; Analog circuits; Associative memory; Asymptotic stability; Circuit stability; Equations; Hardware; Integrated circuit interconnections; Neural networks; Quantization; Robust stability;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.269055
  • Filename
    269055
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1035132