Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays
The passivity for discrete-time stochastic T-S fuzzy systems with time-varying delays is investigated. By constructing appropriate Lyapunov-Krasovskii functionals and employing stochastic analysis method and matrix inequality technique, a delay-dependent criterion to ensure the passivity for the con...
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2014/657621 |
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author | Ting Lei Qiankun Song Zhenjiang Zhao |
author_facet | Ting Lei Qiankun Song Zhenjiang Zhao |
author_sort | Ting Lei |
collection | DOAJ |
description | The passivity for discrete-time stochastic T-S fuzzy systems with time-varying delays is investigated. By constructing appropriate Lyapunov-Krasovskii functionals and employing stochastic analysis method and matrix inequality technique, a delay-dependent criterion to ensure the passivity for the considered T-S fuzzy systems is established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. An example is given to show the effectiveness of the obtained result. |
format | Article |
id | doaj-art-705b5f76305a49d9ba4ad51accf51527 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | Discrete Dynamics in Nature and Society |
spelling | doaj-art-705b5f76305a49d9ba4ad51accf515272025-02-03T06:04:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/657621657621Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying DelaysTing Lei0Qiankun Song1Zhenjiang Zhao2Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics, Huzhou Teachers College, Huzhou 313000, ChinaThe passivity for discrete-time stochastic T-S fuzzy systems with time-varying delays is investigated. By constructing appropriate Lyapunov-Krasovskii functionals and employing stochastic analysis method and matrix inequality technique, a delay-dependent criterion to ensure the passivity for the considered T-S fuzzy systems is established in terms of linear matrix inequalities (LMIs) that can be easily checked by using the standard numerical software. An example is given to show the effectiveness of the obtained result.http://dx.doi.org/10.1155/2014/657621 |
spellingShingle | Ting Lei Qiankun Song Zhenjiang Zhao Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays Discrete Dynamics in Nature and Society |
title | Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays |
title_full | Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays |
title_fullStr | Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays |
title_full_unstemmed | Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays |
title_short | Further Result on Passivity for Discrete-Time Stochastic T-S Fuzzy Systems with Time-Varying Delays |
title_sort | further result on passivity for discrete time stochastic t s fuzzy systems with time varying delays |
url | http://dx.doi.org/10.1155/2014/657621 |
work_keys_str_mv | AT tinglei furtherresultonpassivityfordiscretetimestochastictsfuzzysystemswithtimevaryingdelays AT qiankunsong furtherresultonpassivityfordiscretetimestochastictsfuzzysystemswithtimevaryingdelays AT zhenjiangzhao furtherresultonpassivityfordiscretetimestochastictsfuzzysystemswithtimevaryingdelays |