A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters

Hongqian Lu; Wuneng Zhou; Yuhua Xu; Minghao Li; Lei Jiang

doi:10.1109/CHICC.2008.4605856

A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters

Hongqian Lu
, Wuneng Zhou^*
, Yuhua Xu
, Minghao Li
, Lei Jiang

^*Corresponding author for this work

Donghua University

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

Abstract

The problem of robust stochastic stability analysis of uncertain singular time-varying delay systems with Markovian jumping parameters is investigated in this paper. Free-weighting matrices are employed to express the relationship between the terms in the Leibniz-Newton formula, and based on that relationship, a new delay-dependent stochastic admissible criterion is derived for singular system with Markovian jumping parameters and time-varying delay. Finally, a numerical example is provided to demonstrate the efficiency of the proposed methods in this paper.

Original language	English
Title of host publication	Proceedings of the 27th Chinese Control Conference, CCC
Pages	806-810
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2008.4605856
State	Published - 2008
Externally published	Yes
Event	27th Chinese Control Conference, CCC - Kunming, Yunnan, China Duration: 16 Jul 2008 → 18 Jul 2008

Publication series

Name	Proceedings of the 27th Chinese Control Conference, CCC

Conference

Conference	27th Chinese Control Conference, CCC
Country/Territory	China
City	Kunming, Yunnan
Period	16/07/08 → 18/07/08

Keywords

Delay-dependent
Linear matrix inequality (LMI)
Markovian jumping parameters
Singular system

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10.1109/CHICC.2008.4605856

Cite this

Lu, H., Zhou, W., Xu, Y., Li, M., & Jiang, L. (2008). A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters. In Proceedings of the 27th Chinese Control Conference, CCC (pp. 806-810). Article 4605856 (Proceedings of the 27th Chinese Control Conference, CCC). https://doi.org/10.1109/CHICC.2008.4605856

@inproceedings{e97503a3679d4dfb9ee4d13c87d1057f,

title = "A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters",

abstract = "The problem of robust stochastic stability analysis of uncertain singular time-varying delay systems with Markovian jumping parameters is investigated in this paper. Free-weighting matrices are employed to express the relationship between the terms in the Leibniz-Newton formula, and based on that relationship, a new delay-dependent stochastic admissible criterion is derived for singular system with Markovian jumping parameters and time-varying delay. Finally, a numerical example is provided to demonstrate the efficiency of the proposed methods in this paper.",

keywords = "Delay-dependent, Linear matrix inequality (LMI), Markovian jumping parameters, Singular system",

author = "Hongqian Lu and Wuneng Zhou and Yuhua Xu and Minghao Li and Lei Jiang",

year = "2008",

doi = "10.1109/CHICC.2008.4605856",

language = "英语",

isbn = "9787900719706",

series = "Proceedings of the 27th Chinese Control Conference, CCC",

pages = "806--810",

booktitle = "Proceedings of the 27th Chinese Control Conference, CCC",

note = "27th Chinese Control Conference, CCC ; Conference date: 16-07-2008 Through 18-07-2008",

}

Lu, H, Zhou, W, Xu, Y, Li, M & Jiang, L 2008, A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters. in Proceedings of the 27th Chinese Control Conference, CCC., 4605856, Proceedings of the 27th Chinese Control Conference, CCC, pp. 806-810, 27th Chinese Control Conference, CCC, Kunming, Yunnan, China, 16/07/08. https://doi.org/10.1109/CHICC.2008.4605856

A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters. / Lu, Hongqian; Zhou, Wuneng; Xu, Yuhua et al.
Proceedings of the 27th Chinese Control Conference, CCC. 2008. p. 806-810 4605856 (Proceedings of the 27th Chinese Control Conference, CCC).

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

TY - GEN

T1 - A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters

AU - Lu, Hongqian

AU - Zhou, Wuneng

AU - Xu, Yuhua

AU - Li, Minghao

AU - Jiang, Lei

PY - 2008

Y1 - 2008

N2 - The problem of robust stochastic stability analysis of uncertain singular time-varying delay systems with Markovian jumping parameters is investigated in this paper. Free-weighting matrices are employed to express the relationship between the terms in the Leibniz-Newton formula, and based on that relationship, a new delay-dependent stochastic admissible criterion is derived for singular system with Markovian jumping parameters and time-varying delay. Finally, a numerical example is provided to demonstrate the efficiency of the proposed methods in this paper.

AB - The problem of robust stochastic stability analysis of uncertain singular time-varying delay systems with Markovian jumping parameters is investigated in this paper. Free-weighting matrices are employed to express the relationship between the terms in the Leibniz-Newton formula, and based on that relationship, a new delay-dependent stochastic admissible criterion is derived for singular system with Markovian jumping parameters and time-varying delay. Finally, a numerical example is provided to demonstrate the efficiency of the proposed methods in this paper.

KW - Delay-dependent

KW - Linear matrix inequality (LMI)

KW - Markovian jumping parameters

KW - Singular system

UR - https://www.scopus.com/pages/publications/52449122659

U2 - 10.1109/CHICC.2008.4605856

DO - 10.1109/CHICC.2008.4605856

M3 - 会议稿件

AN - SCOPUS:52449122659

SN - 9787900719706

T3 - Proceedings of the 27th Chinese Control Conference, CCC

SP - 806

EP - 810

BT - Proceedings of the 27th Chinese Control Conference, CCC

T2 - 27th Chinese Control Conference, CCC

Y2 - 16 July 2008 through 18 July 2008

ER -

A free-weighting matrices technique for stochastic stability analysis of uncertain singular system with Markovian jumping parameters

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Keywords

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