<inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays

<inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays

<p/> <p>This paper is concerned with the problem of <inline-formula><graphic file="1687-1847-2011-437842-i2.gif"/></inline-formula>-stability of impulsive neural systems with unbounded time-varying delays and continuously distributed delays. Some <inline-fo...

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Main Authors: Fu Xilin, Yin Lizi
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2011/437842
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spelling doaj-78e6de71d783426eb8116202bcb277652020-11-24T22:17:59ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111437842<inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed DelaysFu XilinYin Lizi<p/> <p>This paper is concerned with the problem of <inline-formula><graphic file="1687-1847-2011-437842-i2.gif"/></inline-formula>-stability of impulsive neural systems with unbounded time-varying delays and continuously distributed delays. Some <inline-formula><graphic file="1687-1847-2011-437842-i3.gif"/></inline-formula>-stability criteria are derived by using the Lyapunov-Krasovskii functional method. Those criteria are expressed in the form of linear matrix inequalities (LMIs), and they can easily be checked. A numerical example is provided to demonstrate the effectiveness of the obtained results.</p> http://www.advancesindifferenceequations.com/content/2011/437842
collection DOAJ
language English
format Article
sources DOAJ
author Fu Xilin
Yin Lizi
spellingShingle Fu Xilin
Yin Lizi
<inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays
Advances in Difference Equations
author_facet Fu Xilin
Yin Lizi
author_sort Fu Xilin
title <inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays
title_short <inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays
title_full <inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays
title_fullStr <inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays
title_full_unstemmed <inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-Stability of Impulsive Neural Networks with Unbounded Time-Varying Delays and Continuously Distributed Delays
title_sort <inline-formula><graphic file="1687-1847-2011-437842-i1.gif"/></inline-formula>-stability of impulsive neural networks with unbounded time-varying delays and continuously distributed delays
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2011-01-01
description <p/> <p>This paper is concerned with the problem of <inline-formula><graphic file="1687-1847-2011-437842-i2.gif"/></inline-formula>-stability of impulsive neural systems with unbounded time-varying delays and continuously distributed delays. Some <inline-formula><graphic file="1687-1847-2011-437842-i3.gif"/></inline-formula>-stability criteria are derived by using the Lyapunov-Krasovskii functional method. Those criteria are expressed in the form of linear matrix inequalities (LMIs), and they can easily be checked. A numerical example is provided to demonstrate the effectiveness of the obtained results.</p>
url http://www.advancesindifferenceequations.com/content/2011/437842
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AT yinlizi inlineformulagraphicfile168718472011437842i1gifinlineformulastabilityofimpulsiveneuralnetworkswithunboundedtimevaryingdelaysandcontinuouslydistributeddelays
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