Stability analysis and stabilization for continuous-time Makov jump linear system with partly known transition probabilities

Mingshun Wang; Mouquan Shen

doi:10.1109/CCDC.2011.5968990

Stability analysis and stabilization for continuous-time Makov jump linear system with partly known transition probabilities

Mingshun Wang, Mouquan Shen

Northeastern University China

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper considers the stability analysis and stabilization of continuous-time Markov jump linear systems (MJLSs) with partly known transition probabilities. According to the bounds of transition probabilities, the partly known transition probabilities considered in this paper covers the cases of known, unknown with known bounds and completely unknown. New sufficient conditions which can be used to stability analysis and stabilization for the considered system are obtained in terms of LMIs. In the case that the transition probabilities are known, the results proposed in the paper are reduced to the existing ones. A numerical is given to illustrate the effectiveness of the proposed method.

Original language	English
Title of host publication	Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011
Pages	4343-4346
Number of pages	4
DOIs	https://doi.org/10.1109/CCDC.2011.5968990
State	Published - 2011
Externally published	Yes
Event	2011 Chinese Control and Decision Conference, CCDC 2011 - Mianyang, China Duration: 23 May 2011 → 25 May 2011

Publication series

Name	Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011

Conference

Conference	2011 Chinese Control and Decision Conference, CCDC 2011
Country/Territory	China
City	Mianyang
Period	23/05/11 → 25/05/11

Keywords

Markov jump linear systemsPartly known transition probabilitiesParameter dependent Lyapunov functionLinear matrix inequalities(LMIs)

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10.1109/CCDC.2011.5968990

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Wang, M., & Shen, M. (2011). Stability analysis and stabilization for continuous-time Makov jump linear system with partly known transition probabilities. In Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011 (pp. 4343-4346). Article 5968990 (Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011). https://doi.org/10.1109/CCDC.2011.5968990

@inproceedings{02f2b546c6694d6f89a259924796cf8e,

title = "Stability analysis and stabilization for continuous-time Makov jump linear system with partly known transition probabilities",

abstract = "This paper considers the stability analysis and stabilization of continuous-time Markov jump linear systems (MJLSs) with partly known transition probabilities. According to the bounds of transition probabilities, the partly known transition probabilities considered in this paper covers the cases of known, unknown with known bounds and completely unknown. New sufficient conditions which can be used to stability analysis and stabilization for the considered system are obtained in terms of LMIs. In the case that the transition probabilities are known, the results proposed in the paper are reduced to the existing ones. A numerical is given to illustrate the effectiveness of the proposed method.",

keywords = "Markov jump linear systemsPartly known transition probabilitiesParameter dependent Lyapunov functionLinear matrix inequalities(LMIs)",

author = "Mingshun Wang and Mouquan Shen",

year = "2011",

doi = "10.1109/CCDC.2011.5968990",

language = "英语",

isbn = "9781424487363",

series = "Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011",

pages = "4343--4346",

booktitle = "Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011",

note = "2011 Chinese Control and Decision Conference, CCDC 2011 ; Conference date: 23-05-2011 Through 25-05-2011",

}

Wang, M & Shen, M 2011, Stability analysis and stabilization for continuous-time Makov jump linear system with partly known transition probabilities. in Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011., 5968990, Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011, pp. 4343-4346, 2011 Chinese Control and Decision Conference, CCDC 2011, Mianyang, China, 23/05/11. https://doi.org/10.1109/CCDC.2011.5968990

Stability analysis and stabilization for continuous-time Makov jump linear system with partly known transition probabilities. / Wang, Mingshun; Shen, Mouquan.
Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011. 2011. p. 4343-4346 5968990 (Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

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AU - Wang, Mingshun

AU - Shen, Mouquan

PY - 2011

Y1 - 2011

N2 - This paper considers the stability analysis and stabilization of continuous-time Markov jump linear systems (MJLSs) with partly known transition probabilities. According to the bounds of transition probabilities, the partly known transition probabilities considered in this paper covers the cases of known, unknown with known bounds and completely unknown. New sufficient conditions which can be used to stability analysis and stabilization for the considered system are obtained in terms of LMIs. In the case that the transition probabilities are known, the results proposed in the paper are reduced to the existing ones. A numerical is given to illustrate the effectiveness of the proposed method.

AB - This paper considers the stability analysis and stabilization of continuous-time Markov jump linear systems (MJLSs) with partly known transition probabilities. According to the bounds of transition probabilities, the partly known transition probabilities considered in this paper covers the cases of known, unknown with known bounds and completely unknown. New sufficient conditions which can be used to stability analysis and stabilization for the considered system are obtained in terms of LMIs. In the case that the transition probabilities are known, the results proposed in the paper are reduced to the existing ones. A numerical is given to illustrate the effectiveness of the proposed method.

KW - Markov jump linear systemsPartly known transition probabilitiesParameter dependent Lyapunov functionLinear matrix inequalities(LMIs)

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DO - 10.1109/CCDC.2011.5968990

M3 - 会议稿件

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SN - 9781424487363

T3 - Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011

SP - 4343

EP - 4346

BT - Proceedings of the 2011 Chinese Control and Decision Conference, CCDC 2011

T2 - 2011 Chinese Control and Decision Conference, CCDC 2011

Y2 - 23 May 2011 through 25 May 2011

ER -

Stability analysis and stabilization for continuous-time Makov jump linear system with partly known transition probabilities

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