<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, we consider a class of high-order cellular neural networks (HCNNs) model with time-varying delays in the leakage terms. We give some sufficient conditions which guarantee the exponential stability of pseudo almost periodic solutions for the model. The obtained results complement with some recent ones in the literature.The technique of proof involves the exponential dichotomy theory and the fixed point theorem. An illustrative example is given with an application. </p></abstract>

In this paper, we consider a class of high-order cellular neural networks (HCNNs) model with time-varying delays in the leakage terms. We give some sufficient conditions which guarantee the exponential stability of pseudo almost periodic solutions for the model. The obtained results complement with some recent ones in the literature.The technique of proof involves the exponential dichotomy theory and the fixed point theorem. An illustrative example is given with an application.

Pseudo Almost Periodic Solutions for HCNNs with Time-Varying Leakage Delays

Department of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080, Van,

Moroccan Journal of Pure and Applied Analysis

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

{"article-title":"Pseudo Almost Periodic Solutions for HCNNs with Time-Varying Leakage Delays"}

In this paper, we consider a class of high-order cellular neural networks (HCNNs) model with time-varying delays in the leakage terms. We give some sufficient...

Pseudo Almost Periodic Solutions for HCNNs with Time-Varying Leakage Delays

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 51 - 69

Received: Apr 08, 2015

Accepted: Jun 28, 2015

DOI: https://doi.org/10.7603/s40956-015-0004-7

Keywords
High-order cellular neural network, pseudo almost periodic solution, exponential stability, time-varying delay, leakage term

© 2017

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

Pseudo Almost Periodic Solutions for HCNNs with Time-Varying Leakage Delays

Article Category: Research Article

Published Online: Feb 04, 2017

Page range: 51 - 69

Received: Apr 08, 2015

Accepted: Jun 28, 2015

DOI: https://doi.org/10.7603/s40956-015-0004-7

KeywordsHigh-order cellular neural network, pseudo almost periodic solution, exponential stability, time-varying delay, leakage term

© 2017

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

Keywords
High-order cellular neural network, pseudo almost periodic solution, exponential stability, time-varying delay, leakage term