• Title of article

    Improved global exponential stability criteria of cellular neural networks with time-varying delays

  • Author/Authors

    Liu، نويسنده , , Qingshan and Cao، نويسنده , , Jinde، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    10
  • From page
    423
  • To page
    432
  • Abstract
    In this paper, the existence and uniqueness of the equilibrium point and stability of the cellular neural networks (CNNs) with time-varying delays are analyzed and proved. Several global exponential stability conditions of the neural networks are obtained by the delay differential inequality and matrix measures approach. The obtained results are extensions of the earlier literature. The approach used in this paper is also suitable for delayed Hopfield neural networks and delayed bi-directional associative memory neural networks whose activation functions are often nondifferentiable or unbounded. Two simulation examples in comparison to previous results in literature are shown to check the theory in this paper.
  • Keywords
    lyapunov function , Cellular neural networks , Time-varying delays , Matrix measures , Global exponential stability
  • Journal title
    Mathematical and Computer Modelling
  • Serial Year
    2006
  • Journal title
    Mathematical and Computer Modelling
  • Record number

    1594060