Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EXISTENCE AND GLOBALLY EXPONENTIAL STABILITY OF PERIODIC SOLUTION OF IMPULSIVE FUZZY BAM NEURAL NETWORKS WITH DISTRIBUTED DELAYS AND VARIABLE COEFFICIENTS

  • Zhang, Qianhong (Guizhou Key Laboratory of Economic System Simulation, Guizhou College of Finance and Economics, School of Mathematics and Statisitic, Guizhou College of Finance and Economics) ;
  • Yang, Lihui (Department of Mathematics, Hunan City University) ;
  • Liao, Daixi (Basic Science Department, Hunan Institute of Technology)
  • Received : 2011.01.17
  • Accepted : 2012.02.17
  • Published : 2012.09.30
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Abstract

In this paper, a class of impulsive fuzzy bi-directional associative memory (BAM) neural networks with distributed delays and variable coefficients are considered. Using Lyapunov functional method and fixed point theorem, we derived some sufficient conditions for the existence and globally exponential stability of unique periodic solution of the networks. The results obtained are new and extend the previous known results. In addition, an example is given to show the effectiveness of our results obtained.

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References

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