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 introducing a new Lyapunov function, an LMI approach is used to derive a delay-dependent sufficient condition which can guarantee the system asymptotically stable. The model transformation is unnecessary. An example shows that the conclusion obtained has less conservativeness than the existing ones.

Original language	English
Pages (from-to)	714-717+720
Journal	Kongzhi yu Juece/Control and Decision
Volume	23
Issue number	6
Publication status	Published - Jun 2008
Externally published	Yes

Keywords

Additive delay components
Delay-dependent
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 introducing a new Lyapunov function, an LMI approach is used to derive a delay-dependent sufficient condition which can guarantee the system asymptotically stable. The model transformation is unnecessary. An example shows that the conclusion obtained has less conservativeness than the existing ones.",

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

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

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T1 - Delay-dependent stability for systems with two additive time-varying delay components

AU - Zhao, Li Ying

AU - Liu, Kun

AU - Liu, He Ping

PY - 2008/6

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N2 - The delay-dependent stability for continuous systems with two additive time-varying delay components is studied. By introducing a new Lyapunov function, an LMI approach is used to derive a delay-dependent sufficient condition which can guarantee the system asymptotically stable. The model transformation is unnecessary. An example shows that the conclusion obtained has less conservativeness than the existing ones.

AB - The delay-dependent stability for continuous systems with two additive time-varying delay components is studied. By introducing a new Lyapunov function, an LMI approach is used to derive a delay-dependent sufficient condition which can guarantee the system asymptotically stable. The model transformation is unnecessary. An example shows that the conclusion obtained has less conservativeness than the existing ones.

KW - Additive delay components

KW - Delay-dependent

KW - LMI

UR - https://www.scopus.com/pages/publications/46449106300

M3 - Article

AN - SCOPUS:46449106300

SN - 1001-0920

VL - 23

SP - 714-717+720

JO - Kongzhi yu Juece/Control and Decision

JF - Kongzhi yu Juece/Control and Decision

IS - 6

ER -

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

Abstract

Keywords

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