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

^*此作品的通讯作者

自动化学院

科研成果: 期刊稿件 › 文章 › 同行评审

570 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	466-470
页数	5
期刊	Automatica
卷	46
期	2
DOI	https://doi.org/10.1016/j.automatica.2009.11.002
出版状态	已出版 - 2月 2010

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10.1016/j.automatica.2009.11.002

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title = "Improved delay-range-dependent stability criteria for linear systems with time-varying delays",

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",

year = "2010",

month = feb,

doi = "10.1016/j.automatica.2009.11.002",

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T1 - Improved delay-range-dependent stability criteria for linear systems with time-varying delays

AU - Sun, Jian

AU - Liu, G. P.

AU - Chen, Jie

AU - Rees, D.

PY - 2010/2

Y1 - 2010/2

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

UR - http://www.scopus.com/inward/record.url?scp=74149092560&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2009.11.002

DO - 10.1016/j.automatica.2009.11.002

M3 - Article

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SN - 0005-1098

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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