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.",

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AU - Liu, He Ping

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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

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IS - 1

ER -

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

Abstract

Keywords

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