2017
Том 69
№ 7

All Issues

Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient

Dai-xi Liao, Li-hui Yang, Zhang Qian-hong

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Abstract

A class of fuzzy bidirectional associated memory (BAM) networks with periodic coefficients is studied. Some sufficient conditions are established for the existence and global exponential stability of a periodic solution of such fuzzy BAM neural networks by using a continuation theorem based on the coincidence degree and the Lyapunov-function method. The sufficient conditions are easy to verify in pattern recognition and automatic control. Finally, an example is given to show the feasibility and efficiency of our results.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 12, pp 1641-1659.

Citation Example: Dai-xi Liao, Li-hui Yang, Zhang Qian-hong Existence and exponential stability of periodic solution for fuzzy BAM neural networks with periodic coefficient // Ukr. Mat. Zh. - 2011. - 63, № 12. - pp. 1672-1684.

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