Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays

Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays

This paper proposes a new complex dynamical network model, in which the state, input, and output variables are varied with the time and space variables. By utilizing the Lyapunov functional method combined with the inequality techniques, several criteria for passivity and global exponential stabilit...

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Main Authors: Shun-Yan Ren, Yue-Hui Zhao
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/412169
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spelling doaj-f6e93a6d90aa48a683358f2e8e6ace152020-11-25T00:55:26ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/412169412169Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying DelaysShun-Yan Ren0Yue-Hui Zhao1School of Computer Science & Software Engineering, Tianjin Polytechnic University, Tianjin 300387, ChinaCollege of Post and Telecommunication of WIT, Wuhan 430070, ChinaThis paper proposes a new complex dynamical network model, in which the state, input, and output variables are varied with the time and space variables. By utilizing the Lyapunov functional method combined with the inequality techniques, several criteria for passivity and global exponential stability are established. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.http://dx.doi.org/10.1155/2014/412169
collection DOAJ
language English
format Article
sources DOAJ
author Shun-Yan Ren
Yue-Hui Zhao
spellingShingle Shun-Yan Ren
Yue-Hui Zhao
Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays
Mathematical Problems in Engineering
author_facet Shun-Yan Ren
Yue-Hui Zhao
author_sort Shun-Yan Ren
title Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays
title_short Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays
title_full Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays
title_fullStr Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays
title_full_unstemmed Stability and Passivity of Spatially and Temporally Complex Dynamical Networks with Time-Varying Delays
title_sort stability and passivity of spatially and temporally complex dynamical networks with time-varying delays
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description This paper proposes a new complex dynamical network model, in which the state, input, and output variables are varied with the time and space variables. By utilizing the Lyapunov functional method combined with the inequality techniques, several criteria for passivity and global exponential stability are established. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.
url http://dx.doi.org/10.1155/2014/412169
work_keys_str_mv AT shunyanren stabilityandpassivityofspatiallyandtemporallycomplexdynamicalnetworkswithtimevaryingdelays
AT yuehuizhao stabilityandpassivityofspatiallyandtemporallycomplexdynamicalnetworkswithtimevaryingdelays
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