Global exponential convergence of fuzzy cellular neural networks with proportional delays and impulsive effects

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: [email protected].

Abstract: In this paper, a class of fuzzy cellular neural networks (FCNNs) with proportional delays and impulsive effects are discussed. With the help of the differential inequality theory, a set of sufficient criteria which ensure the global exponential convergence of the fuzzy cellular neural networks with proportional delays and impulsive effects are established. Numerical simulations are conducted to test our theoretical analysis. The results achieved are new and complement some existing works.

Keywords: Fuzzy cellular neural networks, exponential convergence, proportional delay, impulses

DOI: 10.3233/JIFS-162279

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 969-977, 2017