Existence and exponential stability of a periodic solution for fuzzy cellular neural networks with time-varying delays

Zhang, Q. ; Yang, L. ; Liao, D.

International Journal of Applied Mathematics and Computer Science, Tome 21 (2011) no. 4, pp. 649-658.

Résumé

Fuzzy cellular neural networks with time-varying delays are considered. Some sufficient conditions for the existence and exponential stability of periodic solutions are obtained by using the continuation theorem based on the coincidence degree and the differential inequality technique. The sufficient conditions are easy to use in pattern recognition and automatic control. Finally, an example is given to show the feasibility and effectiveness of our methods.

Détail

Keywords: fuzzy cellular neural networks, global exponential stability, periodic solution, coincidence degree
Mots-clés : sieć neuronowa, stateczność wykładnicza, rozwiązanie okresowe

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