• DocumentCode
    1365586
  • Title

    New sufficient conditions for absolute stability of neural networks

  • Author

    Liang, Xue-Bin ; Wu, Li-De

  • Author_Institution
    Dept. of Comput. Sci., Fudan Univ., Shanghai, China
  • Volume
    45
  • Issue
    5
  • fYear
    1998
  • fDate
    5/1/1998 12:00:00 AM
  • Firstpage
    584
  • Lastpage
    586
  • Abstract
    The main result obtained in this paper is that for a neural network with interconnection matrix T, if -T is quasi-diagonally row-sum or column-sum dominant, then the network system is absolutely stable. The above two sufficient conditions for absolute stability are independent of the existing sufficient ones in the literature. Under either of the above two sufficient conditions for absolute stability, the vector field defined by the network system is also structurally stable
  • Keywords
    absolute stability; neural nets; absolute stability; interconnection matrix; neural network; structural stability; sufficient conditions; vector field; Circuits; Computer science; Differential equations; Eigenvalues and eigenfunctions; Neural networks; Neurons; Stability; Structural engineering; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.668873
  • Filename
    668873