On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales¹

Article type: Research Article

Authors: Xu, Changjin^{a; *} | Wu, Yusen^b

Affiliations: [a] Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics Guiyang, P.R. China | [b] School of Mathematics and Statistics, Henan University of Science and Technology Luoyang, 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.: +8618786100386; Fax: 0851 82276595; E-mail: xcj403@126.com.

Note: [1] This work is supported by National Natural Science Foundation of China (No.11261010, No.11101126) and Natural Science and Technology Foundation of Guizhou Province (J[2015]2025)

Abstract: In this paper, cellular neural networks(CNNs) with time-varying leakage delays on time scales are investigated. By applying the existence of the exponential dichotomy of linear dynamic equations on time scales, fixed point theorem and the theory of calculus on time scales, a set of sufficient conditions are obtained for the existence and exponential stability of almost automorphic solutions for the model. An example with its numerical simulations is given to illustrate the feasibility and effectiveness of the obtained results.

Keywords: Cellular neural networks, almost automorphic solution, exponential stability, leakage term, time-varying delay

DOI: 10.3233/IFS-151766

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 1, pp. 423-436, 2016