<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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...

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

Published Online: Jul 04, 2019

Page range: 337 - 349

Received: Jun 14, 2018

Accepted: Feb 22, 2019

DOI: https://doi.org/10.2478/amcs-2019-0025

Keywords
almost periodic solution, fuzzy cellular neural networks, time-varying delays, synchronization, state feedback, impulsive control

© 2019 Yongkun Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Jul 04, 2019

Page range: 337 - 349

Received: Jun 14, 2018

Accepted: Feb 22, 2019

DOI: https://doi.org/10.2478/amcs-2019-0025

Keywordsalmost periodic solution, fuzzy cellular neural networks, time-varying delays, synchronization, state feedback, impulsive control

© 2019 Yongkun Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
almost periodic solution, fuzzy cellular neural networks, time-varying delays, synchronization, state feedback, impulsive control