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Periodic Oscillation of Fuzzy Cohen-Grossberg Neural Networks with Distributed Delay and Variable Coefficients

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  • Hongjun Xiang
  • Jinde Cao

Abstract

A class of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients is discussed. It is neither employing coincidence degree theory nor constructing Lyapunov functionals, instead, by applying matrix theory and inequality analysis, some sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and global exponential stability of the periodic solution for the fuzzy Cohen-Grossberg neural networks. The method is very concise and practical. Moreover, two examples are posed to illustrate the effectiveness of our results.

Suggested Citation

  • Hongjun Xiang & Jinde Cao, 2008. "Periodic Oscillation of Fuzzy Cohen-Grossberg Neural Networks with Distributed Delay and Variable Coefficients," Journal of Applied Mathematics, Hindawi, vol. 2008, pages 1-18, February.
    • Handle: RePEc:hin:jnljam:453627
    DOI: 10.1155/2008/453627
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