New criteria on delay-dependent stability for uncertain neutral systems with multiple delays

Kun Liu; Liying Zhao; Heping Liu

doi:10.1109/CHICC.2008.4605533

New criteria on delay-dependent stability for uncertain neutral systems with multiple delays

Kun Liu^*, Liying Zhao, Heping Liu

^*Corresponding author for this work

University of Science and Technology Beijing

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

Abstract

Based on the newly established integral inequality, the problem of delay-dependent stability is considered for uncertain neutral system with multiple time delays. The system takes three different delays of neutral-, discrete- and distributed-delays into account. Using Lyapunov stability theory, a sufficient condition of delay-dependent stability is then derived to ensure that the system is asymptotically stable. The model transformation is unnecessary. Last, the example is given to illustrate the effectiveness of the new method.

Original language	English
Title of host publication	Proceedings of the 27th Chinese Control Conference, CCC
Pages	114-117
Number of pages	4
DOIs	https://doi.org/10.1109/CHICC.2008.4605533
Publication status	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
Integral inequality
Multiple time delays
Neutral system

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10.1109/CHICC.2008.4605533

Cite this

Liu, K., Zhao, L., & Liu, H. (2008). New criteria on delay-dependent stability for uncertain neutral systems with multiple delays. In Proceedings of the 27th Chinese Control Conference, CCC (pp. 114-117). Article 4605533 (Proceedings of the 27th Chinese Control Conference, CCC). https://doi.org/10.1109/CHICC.2008.4605533

@inproceedings{275cd45e28f74079a9e94559e401c428,

title = "New criteria on delay-dependent stability for uncertain neutral systems with multiple delays",

abstract = "Based on the newly established integral inequality, the problem of delay-dependent stability is considered for uncertain neutral system with multiple time delays. The system takes three different delays of neutral-, discrete- and distributed-delays into account. Using Lyapunov stability theory, a sufficient condition of delay-dependent stability is then derived to ensure that the system is asymptotically stable. The model transformation is unnecessary. Last, the example is given to illustrate the effectiveness of the new method.",

keywords = "Delay-dependent, Integral inequality, Multiple time delays, Neutral system",

author = "Kun Liu and Liying Zhao and Heping Liu",

year = "2008",

doi = "10.1109/CHICC.2008.4605533",

language = "English",

isbn = "9787900719706",

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

pages = "114--117",

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

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

}

Liu, K, Zhao, L & Liu, H 2008, New criteria on delay-dependent stability for uncertain neutral systems with multiple delays. in Proceedings of the 27th Chinese Control Conference, CCC., 4605533, Proceedings of the 27th Chinese Control Conference, CCC, pp. 114-117, 27th Chinese Control Conference, CCC, Kunming, Yunnan, China, 16/07/08. https://doi.org/10.1109/CHICC.2008.4605533

New criteria on delay-dependent stability for uncertain neutral systems with multiple delays. / Liu, Kun; Zhao, Liying; Liu, Heping.
Proceedings of the 27th Chinese Control Conference, CCC. 2008. p. 114-117 4605533 (Proceedings of the 27th Chinese Control Conference, CCC).

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

TY - GEN

T1 - New criteria on delay-dependent stability for uncertain neutral systems with multiple delays

AU - Liu, Kun

AU - Zhao, Liying

AU - Liu, Heping

PY - 2008

Y1 - 2008

N2 - Based on the newly established integral inequality, the problem of delay-dependent stability is considered for uncertain neutral system with multiple time delays. The system takes three different delays of neutral-, discrete- and distributed-delays into account. Using Lyapunov stability theory, a sufficient condition of delay-dependent stability is then derived to ensure that the system is asymptotically stable. The model transformation is unnecessary. Last, the example is given to illustrate the effectiveness of the new method.

AB - Based on the newly established integral inequality, the problem of delay-dependent stability is considered for uncertain neutral system with multiple time delays. The system takes three different delays of neutral-, discrete- and distributed-delays into account. Using Lyapunov stability theory, a sufficient condition of delay-dependent stability is then derived to ensure that the system is asymptotically stable. The model transformation is unnecessary. Last, the example is given to illustrate the effectiveness of the new method.

KW - Delay-dependent

KW - Integral inequality

KW - Multiple time delays

KW - Neutral system

UR - http://www.scopus.com/inward/record.url?scp=52649180026&partnerID=8YFLogxK

U2 - 10.1109/CHICC.2008.4605533

DO - 10.1109/CHICC.2008.4605533

M3 - Conference contribution

AN - SCOPUS:52649180026

SN - 9787900719706

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

SP - 114

EP - 117

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

T2 - 27th Chinese Control Conference, CCC

Y2 - 16 July 2008 through 18 July 2008

ER -

New criteria on delay-dependent stability for uncertain neutral systems with multiple delays

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Keywords

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