Global exponential periodicity for fuzzy cellular neural networks with proportional delays

Changjin Xu · Journal of Intelligent & Fuzzy Systems · 2017

In this paper, a class of fuzzy cellular neural networks with proportional delays are considered. Applying the differential inequality theory and constructing Lyapunov functional, some sufficient criteria which ensure the global exponential periodicity of fuzzy cellular neural networks with proportional delays are established. Numerical simulations are carried out to illustrate our theoretical predictions. Compared with the previous works, the main contributions lies in: (1) it is the first to deal with the global exponential periodicity of fuzzy cellular neural networks with proportional delays; (2) some new sufficient criteria to ensure the global exponential periodicity of fuzzy cellular neural networks with proportional delays are established; (3) the obtained results of this paper are new and complement some existing ones.

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