Almost periodic synchronization of fuzzy cellular neural networks with time-varying delays via state-feedback and impulsive control

Li, Yongkun ; Wang, Huimei ; Meng, Xiaofang

International Journal of Applied Mathematics and Computer Science, Tome 29 (2019) no. 2, pp. 337-349.

Résumé

In this paper, we are concerned with drive-response synchronization for a class of fuzzy cellular neural networks with time varying delays. Based on the exponential dichotomy of linear differential equations, the Banach fixed point theorem and the differential inequality technique, we obtain the existence of almost periodic solutions of this class of networks. Then, we design a state feedback and an impulsive controller, and construct a suitable Lyapunov function to study the problem of global exponential almost periodic synchronization for the drive-response systems considered. At the end of the paper, we provide an example to verify the effectiveness of the theoretical results.

Détail

Keywords: almost periodic solution, fuzzy cellular neural networks, time varying delays, state feedback, impulsive control
Mots-clés : rozwiązanie okresowe, sieć neuronowa, opóźnienie czasowe, sprzężenie zwrotne

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