pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays

pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays

This paper further studies the pth moment exponential stability of stochastic pulse-width-modulated (PWM) feedback systems with distributed time-varying delays. We establish several globally exponential stability criteria for such PWM feedback systems by using Lyapunov-Krasovskii functional and then...

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Main Authors: Zhong Zhang, Lixia Ye
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/796104
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spelling doaj-ceb5ea00846d42a683b167b592adb4912020-11-24T22:44:04ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/796104796104pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying DelaysZhong Zhang0Lixia Ye1College of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaCollege of Mathematics and Statistics, Chongqing University, Chongqing 400044, ChinaThis paper further studies the pth moment exponential stability of stochastic pulse-width-modulated (PWM) feedback systems with distributed time-varying delays. We establish several globally exponential stability criteria for such PWM feedback systems by using Lyapunov-Krasovskii functional and then present an upper bound of the parameter of PWM when the system is stable and such system has stronger anti-interference performance than the system without time-varying delays. Furthermore, we present two examples to show the effectiveness and conservativeness of the theoretical results.http://dx.doi.org/10.1155/2012/796104
collection DOAJ
language English
format Article
sources DOAJ
author Zhong Zhang
Lixia Ye
spellingShingle Zhong Zhang
Lixia Ye
pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays
Abstract and Applied Analysis
author_facet Zhong Zhang
Lixia Ye
author_sort Zhong Zhang
title pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays
title_short pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays
title_full pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays
title_fullStr pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays
title_full_unstemmed pth Moment Exponential Stability of Stochastic PWM Feedback Systems with Time-Varying Delays
title_sort pth moment exponential stability of stochastic pwm feedback systems with time-varying delays
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description This paper further studies the pth moment exponential stability of stochastic pulse-width-modulated (PWM) feedback systems with distributed time-varying delays. We establish several globally exponential stability criteria for such PWM feedback systems by using Lyapunov-Krasovskii functional and then present an upper bound of the parameter of PWM when the system is stable and such system has stronger anti-interference performance than the system without time-varying delays. Furthermore, we present two examples to show the effectiveness and conservativeness of the theoretical results.
url http://dx.doi.org/10.1155/2012/796104
work_keys_str_mv AT zhongzhang pthmomentexponentialstabilityofstochasticpwmfeedbacksystemswithtimevaryingdelays
AT lixiaye pthmomentexponentialstabilityofstochasticpwmfeedbacksystemswithtimevaryingdelays
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