New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities

New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities

This paper investigates the problem of stability and stabilization of Markovian jump linear systems with partial information on transition probability. A new stability criterion is obtained for these systems. Comparing with the existing results, the advantage of this paper is that the proposed crite...

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Main Authors: Yafeng Guo, Fanglai Zhu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2012/869842
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spelling doaj-f4645686ea554ae5985c36af7cd05c342020-11-24T22:15:04ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472012-01-01201210.1155/2012/869842869842New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition ProbabilitiesYafeng Guo0Fanglai Zhu1Department of Control Science and Engineering, School of Electronics and Information Engineering, Tongji University, Shanghai 201804, ChinaDepartment of Control Science and Engineering, School of Electronics and Information Engineering, Tongji University, Shanghai 201804, ChinaThis paper investigates the problem of stability and stabilization of Markovian jump linear systems with partial information on transition probability. A new stability criterion is obtained for these systems. Comparing with the existing results, the advantage of this paper is that the proposed criterion has fewer variables, however, does not increase any conservatism, which has been proved theoretically. Furthermore, a sufficient condition for the state feedback controller design is derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2012/869842
collection DOAJ
language English
format Article
sources DOAJ
author Yafeng Guo
Fanglai Zhu
spellingShingle Yafeng Guo
Fanglai Zhu
New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities
Mathematical Problems in Engineering
author_facet Yafeng Guo
Fanglai Zhu
author_sort Yafeng Guo
title New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities
title_short New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities
title_full New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities
title_fullStr New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities
title_full_unstemmed New Results on Stability and Stabilization of Markovian Jump Systems with Partly Known Transition Probabilities
title_sort new results on stability and stabilization of markovian jump systems with partly known transition probabilities
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2012-01-01
description This paper investigates the problem of stability and stabilization of Markovian jump linear systems with partial information on transition probability. A new stability criterion is obtained for these systems. Comparing with the existing results, the advantage of this paper is that the proposed criterion has fewer variables, however, does not increase any conservatism, which has been proved theoretically. Furthermore, a sufficient condition for the state feedback controller design is derived in terms of linear matrix inequalities. Finally, numerical examples are given to illustrate the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2012/869842
work_keys_str_mv AT yafengguo newresultsonstabilityandstabilizationofmarkovianjumpsystemswithpartlyknowntransitionprobabilities
AT fanglaizhu newresultsonstabilityandstabilizationofmarkovianjumpsystemswithpartlyknowntransitionprobabilities
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