Cargando…

Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses

A kind of neutral-type Cohen-Grossberg shunting inhibitory cellular neural networks with distributed delays and impulses is considered. Firstly, by using the theory of impulsive differential equations and the contracting mapping principle, the existence and uniqueness of the almost periodic solution...

Descripción completa

Detalles Bibliográficos
Autores principales: Xu, Lijun, Jiang, Qi, Gu, Guodong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4829795/
https://www.ncbi.nlm.nih.gov/pubmed/27190502
http://dx.doi.org/10.1155/2016/6508734
_version_ 1782426796747128832
author Xu, Lijun
Jiang, Qi
Gu, Guodong
author_facet Xu, Lijun
Jiang, Qi
Gu, Guodong
author_sort Xu, Lijun
collection PubMed
description A kind of neutral-type Cohen-Grossberg shunting inhibitory cellular neural networks with distributed delays and impulses is considered. Firstly, by using the theory of impulsive differential equations and the contracting mapping principle, the existence and uniqueness of the almost periodic solution for the above system are obtained. Secondly, by constructing a suitable Lyapunov functional, the global exponential stability of the unique almost periodic solution is also investigated. The work in this paper improves and extends some results in recent years. As an application, an example and numerical simulations are presented to demonstrate the feasibility and effectiveness of the main results.
format Online
Article
Text
id pubmed-4829795
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-48297952016-05-17 Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses Xu, Lijun Jiang, Qi Gu, Guodong Comput Intell Neurosci Research Article A kind of neutral-type Cohen-Grossberg shunting inhibitory cellular neural networks with distributed delays and impulses is considered. Firstly, by using the theory of impulsive differential equations and the contracting mapping principle, the existence and uniqueness of the almost periodic solution for the above system are obtained. Secondly, by constructing a suitable Lyapunov functional, the global exponential stability of the unique almost periodic solution is also investigated. The work in this paper improves and extends some results in recent years. As an application, an example and numerical simulations are presented to demonstrate the feasibility and effectiveness of the main results. Hindawi Publishing Corporation 2016 2016-03-30 /pmc/articles/PMC4829795/ /pubmed/27190502 http://dx.doi.org/10.1155/2016/6508734 Text en Copyright © 2016 Lijun Xu et al. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Xu, Lijun
Jiang, Qi
Gu, Guodong
Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses
title Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses
title_full Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses
title_fullStr Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses
title_full_unstemmed Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses
title_short Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses
title_sort global exponential stability of almost periodic solution for neutral-type cohen-grossberg shunting inhibitory cellular neural networks with distributed delays and impulses
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4829795/
https://www.ncbi.nlm.nih.gov/pubmed/27190502
http://dx.doi.org/10.1155/2016/6508734
work_keys_str_mv AT xulijun globalexponentialstabilityofalmostperiodicsolutionforneutraltypecohengrossbergshuntinginhibitorycellularneuralnetworkswithdistributeddelaysandimpulses
AT jiangqi globalexponentialstabilityofalmostperiodicsolutionforneutraltypecohengrossbergshuntinginhibitorycellularneuralnetworkswithdistributeddelaysandimpulses
AT guguodong globalexponentialstabilityofalmostperiodicsolutionforneutraltypecohengrossbergshuntinginhibitorycellularneuralnetworkswithdistributeddelaysandimpulses