Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying Delays

The stability problem of pulse-width-modulated feedback systems with time-varying delays and stochastic perturbations is studied. With the help of an improved functional construction method, we establish a new Lyapunov-Krasovskii functional and derive several stability criteria about pth moment expo...

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Main Authors: Zhong Zhang, Huahui Han, Qiling Zhao, Lixia Ye
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2014/686389
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spelling doaj-3abfcf602b3a4503bab472f964a8bbfb2020-11-24T22:01:07ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472014-01-01201410.1155/2014/686389686389Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying DelaysZhong Zhang0Huahui Han1Qiling Zhao2Lixia Ye3College of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaThe stability problem of pulse-width-modulated feedback systems with time-varying delays and stochastic perturbations is studied. With the help of an improved functional construction method, we establish a new Lyapunov-Krasovskii functional and derive several stability criteria about pth moment exponential stability.http://dx.doi.org/10.1155/2014/686389
collection DOAJ
language English
format Article
sources DOAJ
author Zhong Zhang
Huahui Han
Qiling Zhao
Lixia Ye
spellingShingle Zhong Zhang
Huahui Han
Qiling Zhao
Lixia Ye
Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying Delays
Mathematical Problems in Engineering
author_facet Zhong Zhang
Huahui Han
Qiling Zhao
Lixia Ye
author_sort Zhong Zhang
title Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying Delays
title_short Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying Delays
title_full Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying Delays
title_fullStr Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying Delays
title_full_unstemmed Stability Analysis of Pulse-Width-Modulated Feedback Systems with Time-Varying Delays
title_sort stability analysis of pulse-width-modulated feedback systems with time-varying delays
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2014-01-01
description The stability problem of pulse-width-modulated feedback systems with time-varying delays and stochastic perturbations is studied. With the help of an improved functional construction method, we establish a new Lyapunov-Krasovskii functional and derive several stability criteria about pth moment exponential stability.
url http://dx.doi.org/10.1155/2014/686389
work_keys_str_mv AT zhongzhang stabilityanalysisofpulsewidthmodulatedfeedbacksystemswithtimevaryingdelays
AT huahuihan stabilityanalysisofpulsewidthmodulatedfeedbacksystemswithtimevaryingdelays
AT qilingzhao stabilityanalysisofpulsewidthmodulatedfeedbacksystemswithtimevaryingdelays
AT lixiaye stabilityanalysisofpulsewidthmodulatedfeedbacksystemswithtimevaryingdelays
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