Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout

The finite-time stability and stabilization problems of a class of networked control systems (NCSs) with bounded Markovian packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time stability and stabilization via state feedback. An iterative ap...

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Main Authors: Yeguo Sun, Guanjun Li
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2014/176919
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author Yeguo Sun
Guanjun Li
author_facet Yeguo Sun
Guanjun Li
author_sort Yeguo Sun
collection DOAJ
description The finite-time stability and stabilization problems of a class of networked control systems (NCSs) with bounded Markovian packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time stability and stabilization via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump linear systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time stability and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.
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spelling doaj-art-6c4097f84853405098b0bd6b04a3cc7d2025-02-03T06:12:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/176919176919Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet DropoutYeguo Sun0Guanjun Li1Department of Mathematics and Computational Science, Huainan Normal University, 238 Dongshan West Road, Huainan 232038, ChinaDepartment of Mathematics and Computational Science, Huainan Normal University, 238 Dongshan West Road, Huainan 232038, ChinaThe finite-time stability and stabilization problems of a class of networked control systems (NCSs) with bounded Markovian packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time stability and stabilization via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump linear systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time stability and stabilization of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.http://dx.doi.org/10.1155/2014/176919
spellingShingle Yeguo Sun
Guanjun Li
Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout
Discrete Dynamics in Nature and Society
title Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout
title_full Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout
title_fullStr Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout
title_full_unstemmed Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout
title_short Finite-Time Stability and Stabilization of Networked Control Systems with Bounded Markovian Packet Dropout
title_sort finite time stability and stabilization of networked control systems with bounded markovian packet dropout
url http://dx.doi.org/10.1155/2014/176919
work_keys_str_mv AT yeguosun finitetimestabilityandstabilizationofnetworkedcontrolsystemswithboundedmarkovianpacketdropout
AT guanjunli finitetimestabilityandstabilizationofnetworkedcontrolsystemswithboundedmarkovianpacketdropout