Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

<p/> <p>Impulsive bidirectional associative memory neural network model with time-varying delays and reaction-diffusion terms is considered. Several sufficient conditions ensuring the existence, uniqueness, and global exponential stability of equilibrium point for the addressed neural ne...

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Main Authors: Cao Jinde, Song Qiankun
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2007/078160
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spelling doaj-6601ab38ce974875a309273dccd744dd2020-11-25T02:09:37ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472007-01-0120071078160Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion TermsCao JindeSong Qiankun<p/> <p>Impulsive bidirectional associative memory neural network model with time-varying delays and reaction-diffusion terms is considered. Several sufficient conditions ensuring the existence, uniqueness, and global exponential stability of equilibrium point for the addressed neural network are derived by <it>M</it>-matrix theory, analytic methods, and inequality techniques. Moreover, the exponential convergence rate index is estimated, which depends on the system parameters. The obtained results in this paper are less restrictive than previously known criteria. Two examples are given to show the effectiveness of the obtained results.</p> http://www.advancesindifferenceequations.com/content/2007/078160
collection DOAJ
language English
format Article
sources DOAJ
author Cao Jinde
Song Qiankun
spellingShingle Cao Jinde
Song Qiankun
Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
Advances in Difference Equations
author_facet Cao Jinde
Song Qiankun
author_sort Cao Jinde
title Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_short Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_full Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_fullStr Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_full_unstemmed Exponential Stability for Impulsive BAM Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms
title_sort exponential stability for impulsive bam neural networks with time-varying delays and reaction-diffusion terms
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2007-01-01
description <p/> <p>Impulsive bidirectional associative memory neural network model with time-varying delays and reaction-diffusion terms is considered. Several sufficient conditions ensuring the existence, uniqueness, and global exponential stability of equilibrium point for the addressed neural network are derived by <it>M</it>-matrix theory, analytic methods, and inequality techniques. Moreover, the exponential convergence rate index is estimated, which depends on the system parameters. The obtained results in this paper are less restrictive than previously known criteria. Two examples are given to show the effectiveness of the obtained results.</p>
url http://www.advancesindifferenceequations.com/content/2007/078160
work_keys_str_mv AT caojinde exponentialstabilityforimpulsivebamneuralnetworkswithtimevaryingdelaysandreactiondiffusionterms
AT songqiankun exponentialstabilityforimpulsivebamneuralnetworkswithtimevaryingdelaysandreactiondiffusionterms
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