Delay-range-dependent stability for systems with time-varying delay

Yong He; Qing Guo Wang; Chong Lin; Min Wu

doi:10.1016/j.automatica.2006.08.015

Delay-range-dependent stability for systems with time-varying delay

Yong He, Qing Guo Wang, Chong Lin, Min Wu

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

939 Citations (Scopus)

Abstract

This paper is concerned with the stability analysis for systems with time-varying delay in a range. An appropriate type of Lyapunov functionals is proposed to investigate the delay-range-dependent stability problem. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov functional, which take into account the range of delay. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

Original language	English
Pages (from-to)	371-376
Number of pages	6
Journal	Automatica
Volume	43
Issue number	2
DOIs	https://doi.org/10.1016/j.automatica.2006.08.015
Publication status	Published - Feb 2007
Externally published	Yes

Keywords

Delay-range-dependent
Linear matrix inequality (LMI)
Stability
Time-varying delay

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2006.08.015

Cite this

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title = "Delay-range-dependent stability for systems with time-varying delay",

abstract = "This paper is concerned with the stability analysis for systems with time-varying delay in a range. An appropriate type of Lyapunov functionals is proposed to investigate the delay-range-dependent stability problem. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov functional, which take into account the range of delay. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.",

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T1 - Delay-range-dependent stability for systems with time-varying delay

AU - He, Yong

AU - Wang, Qing Guo

AU - Lin, Chong

AU - Wu, Min

PY - 2007/2

Y1 - 2007/2

N2 - This paper is concerned with the stability analysis for systems with time-varying delay in a range. An appropriate type of Lyapunov functionals is proposed to investigate the delay-range-dependent stability problem. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov functional, which take into account the range of delay. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

AB - This paper is concerned with the stability analysis for systems with time-varying delay in a range. An appropriate type of Lyapunov functionals is proposed to investigate the delay-range-dependent stability problem. The present results may improve the existing ones due to a method to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms and the introduction of additional terms into the proposed Lyapunov functional, which take into account the range of delay. Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.

KW - Delay-range-dependent

KW - Linear matrix inequality (LMI)

KW - Stability

KW - Time-varying delay

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SP - 371

EP - 376

JO - Automatica

JF - Automatica

IS - 2

ER -

Delay-range-dependent stability for systems with time-varying delay

Abstract

Keywords

ASJC Scopus subject areas

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