• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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Volume 21 Issue 3
Jun.  2008
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Article Contents
LONG Lan, XU Xiaohui, ZHANG Jiye. Global Stability Analysis of Cohen-Grossberg Neural Networks with Unbounded Time Delays[J]. Journal of Southwest Jiaotong University, 2008, 21(3): 381-386.
Citation: LONG Lan, XU Xiaohui, ZHANG Jiye. Global Stability Analysis of Cohen-Grossberg Neural Networks with Unbounded Time Delays[J]. Journal of Southwest Jiaotong University, 2008, 21(3): 381-386.

Global Stability Analysis of Cohen-Grossberg Neural Networks with Unbounded Time Delays

  • Received Date: 23 Jul 2007
  • Publish Date: 25 Jun 2008
  • In order to apply the neural networks to optimization problems,the conditions ensuring the existence,uniqueness and global asymptotical stability of the equilibrium point of Cohen-Grossberg neural networks(CGNN)with unbounded time delays were investigated.Without assuming the boundedness,monotone and differentiability of the activation functions,the existence condition of the equilibrium point of CGNN was obtained.Using the vector Liapunov function method,the intero-differential inequalities with unbounded time delays were constructed,and the stability of the intero-differential inequalities were analyzed to obtain the criteria for the global asymptotical stability of the equilibrium point.Based on the criteria,the global asymptotic stability of CGNN can be get by judging whether the matrix constructed by the weighed coefficients,self-feedback functions and activation functions of CGNN is an M-matrix.Finally,an example was given to testify the validity of the criteria.

     

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