Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay

This paper investigates mean-square robust exponential stability of the equilibrium point of stochastic neural networks with leakage time-varying delays and impulsive perturbations. By using Lyapunov functions and Razumikhin techniques, some easy-to-test criteria of the stability are derived. Two ex...

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Main Authors: Chunge Lu, Linshan Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/831027
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author Chunge Lu
Linshan Wang
author_facet Chunge Lu
Linshan Wang
author_sort Chunge Lu
collection DOAJ
description This paper investigates mean-square robust exponential stability of the equilibrium point of stochastic neural networks with leakage time-varying delays and impulsive perturbations. By using Lyapunov functions and Razumikhin techniques, some easy-to-test criteria of the stability are derived. Two examples are provided to illustrate the efficiency of the results.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-53ea445d0c304255b7073becaed09e872025-02-03T06:11:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/831027831027Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying DelayChunge Lu0Linshan Wang1College of Mathematical Science, Ocean University of China, Qingdao 266100, ChinaCollege of Mathematical Science, Ocean University of China, Qingdao 266100, ChinaThis paper investigates mean-square robust exponential stability of the equilibrium point of stochastic neural networks with leakage time-varying delays and impulsive perturbations. By using Lyapunov functions and Razumikhin techniques, some easy-to-test criteria of the stability are derived. Two examples are provided to illustrate the efficiency of the results.http://dx.doi.org/10.1155/2014/831027
spellingShingle Chunge Lu
Linshan Wang
Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay
Abstract and Applied Analysis
title Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay
title_full Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay
title_fullStr Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay
title_full_unstemmed Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay
title_short Robust Exponential Stability of Impulsive Stochastic Neural Networks with Leakage Time-Varying Delay
title_sort robust exponential stability of impulsive stochastic neural networks with leakage time varying delay
url http://dx.doi.org/10.1155/2014/831027
work_keys_str_mv AT chungelu robustexponentialstabilityofimpulsivestochasticneuralnetworkswithleakagetimevaryingdelay
AT linshanwang robustexponentialstabilityofimpulsivestochasticneuralnetworkswithleakagetimevaryingdelay