Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays

This paper investigates the finite-time passivity and passification design problem for a class of Markovian jumping systems with mode-dependent time-varying delays. By employing the Lyapunov-Krasovskii functional method, delay-dependent sufficient criteria are derived to ensure the mean-square stoch...

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Main Author:	Chao Ma
Format:	Article
Language:	English
Published:	Hindawi Limited 2017-01-01
Series:	Discrete Dynamics in Nature and Society
Online Access:	http://dx.doi.org/10.1155/2017/3256871

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spelling	doaj-2a690ad402ad41138691a9a92dbaef592020-11-25T00:22:34ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/32568713256871Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying DelaysChao Ma0School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, ChinaThis paper investigates the finite-time passivity and passification design problem for a class of Markovian jumping systems with mode-dependent time-varying delays. By employing the Lyapunov-Krasovskii functional method, delay-dependent sufficient criteria are derived to ensure the mean-square stochastically finite-time passivity. Based on the established results, mode-dependent passification controller is further designed in terms of linear matrix inequalities, such that the prescribed passive performance index of the resulting closed-loop system can be satisfied. Finally, two illustrative examples are given to show the effectiveness of the obtained theoretical results.http://dx.doi.org/10.1155/2017/3256871
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chao Ma
spellingShingle	Chao Ma Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays Discrete Dynamics in Nature and Society
author_facet	Chao Ma
author_sort	Chao Ma
title	Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays
title_short	Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays
title_full	Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays
title_fullStr	Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays
title_full_unstemmed	Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays
title_sort	finite-time passivity and passification design for markovian jumping systems with mode-dependent time-varying delays
publisher	Hindawi Limited
series	Discrete Dynamics in Nature and Society
issn	1026-0226 1607-887X
publishDate	2017-01-01
description	This paper investigates the finite-time passivity and passification design problem for a class of Markovian jumping systems with mode-dependent time-varying delays. By employing the Lyapunov-Krasovskii functional method, delay-dependent sufficient criteria are derived to ensure the mean-square stochastically finite-time passivity. Based on the established results, mode-dependent passification controller is further designed in terms of linear matrix inequalities, such that the prescribed passive performance index of the resulting closed-loop system can be satisfied. Finally, two illustrative examples are given to show the effectiveness of the obtained theoretical results.
url	http://dx.doi.org/10.1155/2017/3256871
work_keys_str_mv	AT chaoma finitetimepassivityandpassificationdesignformarkovianjumpingsystemswithmodedependenttimevaryingdelays
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Finite-Time Passivity and Passification Design for Markovian Jumping Systems with Mode-Dependent Time-Varying Delays

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