• DocumentCode
    897613
  • Title

    Comments on "Necessary and sufficient condition for absolute stability of neural networks"

  • Author

    Kaszkurewicz, Eugenius ; Bhaya, Amit

  • Author_Institution
    Dept. of Electr. Eng., Univ. Federal do Rio de Janeiro, Brazil
  • Volume
    42
  • Issue
    8
  • fYear
    1995
  • Firstpage
    497
  • Lastpage
    499
  • Abstract
    This letter points out that a Liapunov function used by the present authors in an earlier publication on absolute and structural stability of neural circuits easily proves a stronger version of the sufficient part of the result contained in the paper by Forti, Manetti and Marini (1994) as well as in a subsequent publication. Comments are made on the set of interconnection matrices that determine necessary and sufficient conditions for absolute stability of the class of neural circuits considered and as a consequence a conjecture is formulated.<>
  • Keywords
    Lyapunov matrix equations; absolute stability; circuit stability; neural nets; Liapunov function; absolute stability; interconnection matrices; neural circuits; neural networks; structural stability; Bifurcation; Chaotic communication; Circuit stability; Combinatorial mathematics; Coupling circuits; Eigenvalues and eigenfunctions; Graph theory; Linear matrix inequalities; Neural networks; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.404065
  • Filename
    404065