Delay-dependent stability for systems with two additive time-varying delay components

Li Ying Zhao; Kun Liu; He Ping Liu

Delay-dependent stability for systems with two additive time-varying delay components

Li Ying Zhao^*
, Kun Liu
, He Ping Liu

^*Corresponding author for this work

University of Science and Technology Beijing

Research output: Contribution to journal › Article › peer-review

Abstract

The delay-dependent stability for continuous systems with two additive time-varying delay components is studied. By incorporating with the integral inequality, a LMI approach is used to derive a delay-dependent sufficient condition, which can guarantee that the system is asymptotically stable. The model transformation is unnecessary. A numerical example suggests that the proposed design method is effective.

Original language	English
Pages (from-to)	26-28
Number of pages	3
Journal	Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni
Volume	47
Issue number	1
Publication status	Published - Jan 2008
Externally published	Yes

Keywords

Additive delay components
Delay-dependent
Integral inequality
LMI

Cite this

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title = "Delay-dependent stability for systems with two additive time-varying delay components",

abstract = "The delay-dependent stability for continuous systems with two additive time-varying delay components is studied. By incorporating with the integral inequality, a LMI approach is used to derive a delay-dependent sufficient condition, which can guarantee that the system is asymptotically stable. The model transformation is unnecessary. A numerical example suggests that the proposed design method is effective.",

keywords = "Additive delay components, Delay-dependent, Integral inequality, LMI",

author = "Zhao, \{Li Ying\} and Kun Liu and Liu, \{He Ping\}",

year = "2008",

month = jan,

language = "English",

volume = "47",

pages = "26--28",

journal = "Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni",

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publisher = "Journal of Zhongshan University",

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AU - Zhao, Li Ying

AU - Liu, Kun

AU - Liu, He Ping

PY - 2008/1

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N2 - The delay-dependent stability for continuous systems with two additive time-varying delay components is studied. By incorporating with the integral inequality, a LMI approach is used to derive a delay-dependent sufficient condition, which can guarantee that the system is asymptotically stable. The model transformation is unnecessary. A numerical example suggests that the proposed design method is effective.

AB - The delay-dependent stability for continuous systems with two additive time-varying delay components is studied. By incorporating with the integral inequality, a LMI approach is used to derive a delay-dependent sufficient condition, which can guarantee that the system is asymptotically stable. The model transformation is unnecessary. A numerical example suggests that the proposed design method is effective.

KW - Additive delay components

KW - Delay-dependent

KW - Integral inequality

KW - LMI

UR - https://www.scopus.com/pages/publications/41349115899

M3 - Article

AN - SCOPUS:41349115899

SN - 2097-0137

VL - 47

SP - 26

EP - 28

JO - Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni

JF - Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni

IS - 1

ER -

Delay-dependent stability for systems with two additive time-varying delay components

Abstract

Keywords

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