Delay-dependent robust h-infinity stability for uncertain discrete-time markovian jump singular system

Fu Xie; Hongqian Lu

doi:10.1109/CCDC.2009.5195020

Delay-dependent robust h-infinity stability for uncertain discrete-time markovian jump singular system

Fu Xie^*
, Hongqian Lu

^*Corresponding author for this work

Shandong Normal University
Donghua University

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

1 Scopus citations

Abstract

This paper considers the robust H-infinity stability of uncertain discrete-time singular system with Markovian jumping parameters and state delay. The considered systems are not necessarily assumed to be regular and causal. In term of linear matrix inequality approach, a delay-dependent stability criterion is given to ensure the nominal system to be stochastically admissible. Based on the criterion, the robust H-infinity stability condition for uncertain discrete-time Markovian jump singular system is obtained.

Original language	English
Title of host publication	2009 Chinese Control and Decision Conference, CCDC 2009
Pages	2663-2666
Number of pages	4
DOIs	https://doi.org/10.1109/CCDC.2009.5195020
State	Published - 2009
Externally published	Yes
Event	2009 Chinese Control and Decision Conference, CCDC 2009 - Guilin, China Duration: 17 Jun 2009 → 19 Jun 2009

Publication series

Name	2009 Chinese Control and Decision Conference, CCDC 2009

Conference

Conference	2009 Chinese Control and Decision Conference, CCDC 2009
Country/Territory	China
City	Guilin
Period	17/06/09 → 19/06/09

Keywords

Discrete-time singular system
Linear matrix inequality (LMI)
Markovian jumping parameters

Access to Document

10.1109/CCDC.2009.5195020

Cite this

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title = "Delay-dependent robust h-infinity stability for uncertain discrete-time markovian jump singular system",

abstract = "This paper considers the robust H-infinity stability of uncertain discrete-time singular system with Markovian jumping parameters and state delay. The considered systems are not necessarily assumed to be regular and causal. In term of linear matrix inequality approach, a delay-dependent stability criterion is given to ensure the nominal system to be stochastically admissible. Based on the criterion, the robust H-infinity stability condition for uncertain discrete-time Markovian jump singular system is obtained.",

keywords = "Discrete-time singular system, Linear matrix inequality (LMI), Markovian jumping parameters",

author = "Fu Xie and Hongqian Lu",

year = "2009",

doi = "10.1109/CCDC.2009.5195020",

language = "英语",

isbn = "9781424427239",

series = "2009 Chinese Control and Decision Conference, CCDC 2009",

pages = "2663--2666",

booktitle = "2009 Chinese Control and Decision Conference, CCDC 2009",

note = "2009 Chinese Control and Decision Conference, CCDC 2009 ; Conference date: 17-06-2009 Through 19-06-2009",

}

Xie, F & Lu, H 2009, Delay-dependent robust h-infinity stability for uncertain discrete-time markovian jump singular system. in 2009 Chinese Control and Decision Conference, CCDC 2009., 5195020, 2009 Chinese Control and Decision Conference, CCDC 2009, pp. 2663-2666, 2009 Chinese Control and Decision Conference, CCDC 2009, Guilin, China, 17/06/09. https://doi.org/10.1109/CCDC.2009.5195020

Delay-dependent robust h-infinity stability for uncertain discrete-time markovian jump singular system. / Xie, Fu; Lu, Hongqian.
2009 Chinese Control and Decision Conference, CCDC 2009. 2009. p. 2663-2666 5195020 (2009 Chinese Control and Decision Conference, CCDC 2009).

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

TY - GEN

T1 - Delay-dependent robust h-infinity stability for uncertain discrete-time markovian jump singular system

AU - Xie, Fu

AU - Lu, Hongqian

PY - 2009

Y1 - 2009

N2 - This paper considers the robust H-infinity stability of uncertain discrete-time singular system with Markovian jumping parameters and state delay. The considered systems are not necessarily assumed to be regular and causal. In term of linear matrix inequality approach, a delay-dependent stability criterion is given to ensure the nominal system to be stochastically admissible. Based on the criterion, the robust H-infinity stability condition for uncertain discrete-time Markovian jump singular system is obtained.

AB - This paper considers the robust H-infinity stability of uncertain discrete-time singular system with Markovian jumping parameters and state delay. The considered systems are not necessarily assumed to be regular and causal. In term of linear matrix inequality approach, a delay-dependent stability criterion is given to ensure the nominal system to be stochastically admissible. Based on the criterion, the robust H-infinity stability condition for uncertain discrete-time Markovian jump singular system is obtained.

KW - Discrete-time singular system

KW - Linear matrix inequality (LMI)

KW - Markovian jumping parameters

UR - https://www.scopus.com/pages/publications/70449380602

U2 - 10.1109/CCDC.2009.5195020

DO - 10.1109/CCDC.2009.5195020

M3 - 会议稿件

AN - SCOPUS:70449380602

SN - 9781424427239

T3 - 2009 Chinese Control and Decision Conference, CCDC 2009

SP - 2663

EP - 2666

BT - 2009 Chinese Control and Decision Conference, CCDC 2009

T2 - 2009 Chinese Control and Decision Conference, CCDC 2009

Y2 - 17 June 2009 through 19 June 2009

ER -

Delay-dependent robust h-infinity stability for uncertain discrete-time markovian jump singular system

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