Global exponential periodicity for fuzzy cellular neural networks with proportional delays

Article type: Research Article

Authors: Xu, Changjin^{; *}

Affiliations: Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, P.R. China

Correspondence: [*] Corresponding author. Changjin Xu, Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550004, P.R. China, Tel./Fax: +86 85188510708; E-mail: xcj403@mail.gufe.edu.cn.

Abstract: 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.

Keywords: Fuzzy cellular neural networks, global exponential periodicity, proportional delay, nonlinear transformation

DOI: 10.3233/JIFS-162027

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 829-839, 2017