• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 21 Issue 2
Apr.  2008
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Article Contents
ZHENG Weifan, LONG Lan, ZHANG Jiye, ZHANG Weihua. Stability of Recurrent Cellular Neural Networks with Variable Time Delays[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 222-226.
Citation: ZHENG Weifan, LONG Lan, ZHANG Jiye, ZHANG Weihua. Stability of Recurrent Cellular Neural Networks with Variable Time Delays[J]. Journal of Southwest Jiaotong University, 2008, 21(2): 222-226.

Stability of Recurrent Cellular Neural Networks with Variable Time Delays

  • Received Date: 12 Oct 2006
  • Publish Date: 25 Apr 2008
  • The global exponential stability of a class of recurrent cellular neural networks with variable time delays was studied using M-matrix theory and vector Lyapunov methods.Without assuming the boundedness,monotonicity,differentiability and Lipschitz continuity of the active functions,an algebraic criterion to ensure existence and globally exponential stability of periodic solutions was obtained.From the weight matrix and damping coefficient matrix of the neural networks,a test matrix was constructed based on the conditions satisfied by the active functions.A recurrent cellular neural network has periodic and globally exponential stable solutions if the test matrix is an M-matrix.

     

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