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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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/10.1155/2014/176919 |
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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. |
format | Article |
id | doaj-art-6c4097f84853405098b0bd6b04a3cc7d |
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-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 |