Improved delay-range-dependent stability criteria for linear systems with time-varying delays

Jian Sun; G. P. Liu; Jie Chen; D. Rees

doi:10.1016/j.automatica.2009.11.002

Improved delay-range-dependent stability criteria for linear systems with time-varying delays

Jian Sun^*, G. P. Liu, Jie Chen, D. Rees

^*Corresponding author for this work

School of Automation

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

584 Citations (Scopus)

Abstract

This paper is concerned with the stability analysis of linear systems with time-varying delays in a given range. A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms. In the proposed Lyapunov functional, the information on the lower bound of the delay is fully exploited. Some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices. Numerical examples are given to illustrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	466-470
Number of pages	5
Journal	Automatica
Volume	46
Issue number	2
DOIs	https://doi.org/10.1016/j.automatica.2009.11.002
Publication status	Published - Feb 2010

Keywords

Delay-range-dependent stability
Linear matrix inequality (LMI)
Lyapunov-Krasovskii functional
Time-varying delay

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10.1016/j.automatica.2009.11.002

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abstract = "This paper is concerned with the stability analysis of linear systems with time-varying delays in a given range. A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms. In the proposed Lyapunov functional, the information on the lower bound of the delay is fully exploited. Some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices. Numerical examples are given to illustrate the effectiveness of the proposed method.",

keywords = "Delay-range-dependent stability, Linear matrix inequality (LMI), Lyapunov-Krasovskii functional, Time-varying delay",

author = "Jian Sun and Liu, {G. P.} and Jie Chen and D. Rees",

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AU - Sun, Jian

AU - Liu, G. P.

AU - Chen, Jie

AU - Rees, D.

PY - 2010/2

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N2 - This paper is concerned with the stability analysis of linear systems with time-varying delays in a given range. A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms. In the proposed Lyapunov functional, the information on the lower bound of the delay is fully exploited. Some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices. Numerical examples are given to illustrate the effectiveness of the proposed method.

AB - This paper is concerned with the stability analysis of linear systems with time-varying delays in a given range. A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms. In the proposed Lyapunov functional, the information on the lower bound of the delay is fully exploited. Some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices. Numerical examples are given to illustrate the effectiveness of the proposed method.

KW - Delay-range-dependent stability

KW - Linear matrix inequality (LMI)

KW - Lyapunov-Krasovskii functional

KW - Time-varying delay

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VL - 46

SP - 466

EP - 470

JO - Automatica

JF - Automatica

IS - 2

ER -

Improved delay-range-dependent stability criteria for linear systems with time-varying delays

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Keywords

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