Impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks

Impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks

Abstract This paper investigates the impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks (CGNN) by means of B-equivalence method. Under certain conditions, the state-dependent impulsive switching systems can be reduced to the fixed-time ones. Furthermore...

Full description

Bibliographic Details
Main Authors: Xianxiu Zhang, Chuandong Li, Tingwen Huang
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Advances in Difference Equations
Subjects:
Cohen-Grossberg neural networks (CGNN)
switching
state-dependent impulse
B-equivalence
global stability
Online Access:http://link.springer.com/article/10.1186/s13662-017-1375-z
id doaj-f776e8cccfce4d4c943fe6e64711e0b7
record_format Article
spelling doaj-f776e8cccfce4d4c943fe6e64711e0b72020-11-24T21:17:06ZengSpringerOpenAdvances in Difference Equations1687-18472017-10-012017112110.1186/s13662-017-1375-zImpacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networksXianxiu Zhang0Chuandong Li1Tingwen Huang2Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest UniversityChongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest UniversityDepartment of Mathematics, Texas A&M University at QatarAbstract This paper investigates the impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks (CGNN) by means of B-equivalence method. Under certain conditions, the state-dependent impulsive switching systems can be reduced to the fixed-time ones. Furthermore, a stability criterion for the considered CGNN using the proposed comparison system is established. Finally, two numerical examples are provided to illustrate the efficiency of the theoretical results.http://link.springer.com/article/10.1186/s13662-017-1375-zCohen-Grossberg neural networks (CGNN)switchingstate-dependent impulseB-equivalenceglobal stability
collection DOAJ
language English
format Article
sources DOAJ
author Xianxiu Zhang
Chuandong Li
Tingwen Huang
spellingShingle Xianxiu Zhang
Chuandong Li
Tingwen Huang
Impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks
Advances in Difference Equations
Cohen-Grossberg neural networks (CGNN)
switching
state-dependent impulse
B-equivalence
global stability
author_facet Xianxiu Zhang
Chuandong Li
Tingwen Huang
author_sort Xianxiu Zhang
title Impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks
title_short Impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks
title_full Impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks
title_fullStr Impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks
title_full_unstemmed Impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks
title_sort impacts of state-dependent impulses on the stability of switching cohen-grossberg neural networks
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2017-10-01
description Abstract This paper investigates the impacts of state-dependent impulses on the stability of switching Cohen-Grossberg neural networks (CGNN) by means of B-equivalence method. Under certain conditions, the state-dependent impulsive switching systems can be reduced to the fixed-time ones. Furthermore, a stability criterion for the considered CGNN using the proposed comparison system is established. Finally, two numerical examples are provided to illustrate the efficiency of the theoretical results.
topic Cohen-Grossberg neural networks (CGNN)
switching
state-dependent impulse
B-equivalence
global stability
url http://link.springer.com/article/10.1186/s13662-017-1375-z
work_keys_str_mv AT xianxiuzhang impactsofstatedependentimpulsesonthestabilityofswitchingcohengrossbergneuralnetworks
AT chuandongli impactsofstatedependentimpulsesonthestabilityofswitchingcohengrossbergneuralnetworks
AT tingwenhuang impactsofstatedependentimpulsesonthestabilityofswitchingcohengrossbergneuralnetworks
_version_ 1726014183795851264

Similar Items