Novel Robust Exponential Stability of Markovian Jumping Impulsive Delayed Neural Networks of Neutral-Type with Stochastic Perturbation
The robust exponential stability problem for a class of uncertain impulsive stochastic neural networks of neutral-type with Markovian parameters and mixed time-varying delays is investigated. By constructing a proper exponential-type Lyapunov-Krasovskii functional and employing Jensen integral inequ...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2016-01-01
|
Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2016/1492908 |
id |
doaj-0f94434e28884e14ac5286e8f135b6a4 |
---|---|
record_format |
Article |
spelling |
doaj-0f94434e28884e14ac5286e8f135b6a42020-11-24T22:09:46ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/14929081492908Novel Robust Exponential Stability of Markovian Jumping Impulsive Delayed Neural Networks of Neutral-Type with Stochastic PerturbationYang Fang0Kelin Li1Yunqi Yan2School of Science, Sichuan University of Science & Engineering, Sichuan 643000, ChinaSchool of Science, Sichuan University of Science & Engineering, Sichuan 643000, ChinaCollege of Mechanical Engineering, Sichuan University of Science & Engineering, Sichuan 643000, ChinaThe robust exponential stability problem for a class of uncertain impulsive stochastic neural networks of neutral-type with Markovian parameters and mixed time-varying delays is investigated. By constructing a proper exponential-type Lyapunov-Krasovskii functional and employing Jensen integral inequality, free-weight matrix method, some novel delay-dependent stability criteria that ensure the robust exponential stability in mean square of the trivial solution of the considered networks are established in the form of linear matrix inequalities (LMIs). The proposed results do not require the derivatives of discrete and distributed time-varying delays to be 0 or smaller than 1. Moreover, the main contribution of the proposed approach compared with related methods lies in the use of three types of impulses. Finally, two numerical examples are worked out to verify the effectiveness and less conservativeness of our theoretical results over existing literature.http://dx.doi.org/10.1155/2016/1492908 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Yang Fang Kelin Li Yunqi Yan |
spellingShingle |
Yang Fang Kelin Li Yunqi Yan Novel Robust Exponential Stability of Markovian Jumping Impulsive Delayed Neural Networks of Neutral-Type with Stochastic Perturbation Mathematical Problems in Engineering |
author_facet |
Yang Fang Kelin Li Yunqi Yan |
author_sort |
Yang Fang |
title |
Novel Robust Exponential Stability of Markovian Jumping Impulsive Delayed Neural Networks of Neutral-Type with Stochastic Perturbation |
title_short |
Novel Robust Exponential Stability of Markovian Jumping Impulsive Delayed Neural Networks of Neutral-Type with Stochastic Perturbation |
title_full |
Novel Robust Exponential Stability of Markovian Jumping Impulsive Delayed Neural Networks of Neutral-Type with Stochastic Perturbation |
title_fullStr |
Novel Robust Exponential Stability of Markovian Jumping Impulsive Delayed Neural Networks of Neutral-Type with Stochastic Perturbation |
title_full_unstemmed |
Novel Robust Exponential Stability of Markovian Jumping Impulsive Delayed Neural Networks of Neutral-Type with Stochastic Perturbation |
title_sort |
novel robust exponential stability of markovian jumping impulsive delayed neural networks of neutral-type with stochastic perturbation |
publisher |
Hindawi Limited |
series |
Mathematical Problems in Engineering |
issn |
1024-123X 1563-5147 |
publishDate |
2016-01-01 |
description |
The robust exponential stability problem for a class of uncertain impulsive stochastic neural networks of neutral-type with Markovian parameters and mixed time-varying delays is investigated. By constructing a proper exponential-type Lyapunov-Krasovskii functional and employing Jensen integral inequality, free-weight matrix method, some novel delay-dependent stability criteria that ensure the robust exponential stability in mean square of the trivial solution of the considered networks are established in the form of linear matrix inequalities (LMIs). The proposed results do not require the derivatives of discrete and distributed time-varying delays to be 0 or smaller than 1. Moreover, the main contribution of the proposed approach compared with related methods lies in the use of three types of impulses. Finally, two numerical examples are worked out to verify the effectiveness and less conservativeness of our theoretical results over existing literature. |
url |
http://dx.doi.org/10.1155/2016/1492908 |
work_keys_str_mv |
AT yangfang novelrobustexponentialstabilityofmarkovianjumpingimpulsivedelayedneuralnetworksofneutraltypewithstochasticperturbation AT kelinli novelrobustexponentialstabilityofmarkovianjumpingimpulsivedelayedneuralnetworksofneutraltypewithstochasticperturbation AT yunqiyan novelrobustexponentialstabilityofmarkovianjumpingimpulsivedelayedneuralnetworksofneutraltypewithstochasticperturbation |
_version_ |
1725810892990316544 |