Exponential synchronization of a class of neural networks with time-varying delays

  • Authors:
  • Chao-Jung Cheng;Teh-Lu Liao;Jun-Juh Yan;Chi-Chuan Hwang

  • Affiliations:
  • Dept. of Inf. Eng., Kun Shan Univ., Tainan, Taiwan;-;-;-

  • Venue:
  • IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
  • Year:
  • 2006

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Abstract

This paper aims to present a synchronization scheme for a class of delayed neural networks, which covers the Hopfield neural networks and cellular neural networks with time-varying delays. A feedback control gain matrix is derived to achieve the exponential synchronization of the drive-response structure of neural networks by using the Lyapunov stability theory, and its exponential synchronization condition can be verified if a certain Hamiltonian matrix with no eigenvalues on the imaginary axis. This condition can avoid solving an algebraic Riccati equation. Both the cellular neural networks and Hopfield neural networks with time-varying delays are given as examples for illustration.