Almost Periodic Synchronization of Fuzzy Cellular Neural Networks with Time–Varying Delays via State–Feedback and Impulsive Control-Reference-Cited by-同舟云学术

Almost Periodic Synchronization of Fuzzy Cellular Neural Networks with Time–Varying Delays via State–Feedback and Impulsive Control

Published:2019-06-01 Issue:2 Volume:29 Page:337-349
ISSN:2083-8492
Container-title:International Journal of Applied Mathematics and Computer Science
language:en
Short-container-title:

Author:

Li Yongkun¹,Wang Huimei²,Meng Xiaofang¹

Affiliation:

1. Department of Mathematics , Yunnan University , Kunming, Yunnan 650091 , People’s Republic of China

2. Department of Mathematics , Kunming University , Kunming, Yunnan 650214, People’s Republic of China

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.sciendo.com/pdf/10.2478/amcs-2019-0025

Reference50 articles.

1. Abdurahman, A., Jiang, H. and Teng, Z. (2016). Finite-time synchronization for fuzzy cellular neural networks with time-varying delays, Fuzzy Sets and Systems297: 96–111.

2. Aouiti, C., Gharbia, I.B., Cao, J., M’Hamdi, M.S. and Alsaedi, A. (2018). Existence and global exponential stability of pseudo almost periodic solution for neutral delay BAM neural networks with time-varying delay in leakage terms, Chaos Solitons & Fractals107: 111–127.

3. Aouiti, C., M’Hamdi, M.S., Cao, J. and Alsaedi, A. (2017). Piecewise pseudo almost periodic solution for impulsive generalised high-order Hopfield neural networks with leakage delays, Neural Processing Letters45(2): 615–648.

4. Arik, S. (2002a). An analysis of global asymptotic stability of delayed cellular neural networks, IEEE Transactions on Neural Networks13(5): 1239–1242.

5. Arik, S. (2002b). An improved global stability result for delayed cellular neural networks, IEEE Transactions on Circuits & Systems I: Fundamental Theory & Applications49(8): 1211–1214.

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