Delay-dependent criteria for robust stability of linear systems with time-varying delay

H. Meng; Y. Kang; D. Zhai

doi:10.3969/j.issn.0253-2778.2013.07.002

Delay-dependent criteria for robust stability of linear systems with time-varying delay

H. Meng
, Y. Kang^*
, D. Zhai

^*此作品的通讯作者

University of Science and Technology of China

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

The robust stability of linear systems with time-varying delay was considered in a given range. A new Lyapunov functional was constructed to introduce some state variables related to time-varying delay. Some less conservative results were derived in terms of linear matrix inequalities with respect to nominal systems and systems with norm-bounded uncertainties, respectively. Some numerical examples show the effectiveness of the derived results.

源语言	英语
页（从-至）	523-531
页数	9
期刊	Journal of University of Science and Technology of China
卷	43
期	7
DOI	https://doi.org/10.3969/j.issn.0253-2778.2013.07.002
出版状态	已出版 - 2013
已对外发布	是

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abstract = "The robust stability of linear systems with time-varying delay was considered in a given range. A new Lyapunov functional was constructed to introduce some state variables related to time-varying delay. Some less conservative results were derived in terms of linear matrix inequalities with respect to nominal systems and systems with norm-bounded uncertainties, respectively. Some numerical examples show the effectiveness of the derived results.",

keywords = "Delay-dependent stability, Linear matrix inequality (LMI), Lyapunov-Krasovskii functionals (LKFs), Nonuniform partition, Time-varying delay",

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AU - Meng, H.

AU - Kang, Y.

AU - Zhai, D.

PY - 2013

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N2 - The robust stability of linear systems with time-varying delay was considered in a given range. A new Lyapunov functional was constructed to introduce some state variables related to time-varying delay. Some less conservative results were derived in terms of linear matrix inequalities with respect to nominal systems and systems with norm-bounded uncertainties, respectively. Some numerical examples show the effectiveness of the derived results.

AB - The robust stability of linear systems with time-varying delay was considered in a given range. A new Lyapunov functional was constructed to introduce some state variables related to time-varying delay. Some less conservative results were derived in terms of linear matrix inequalities with respect to nominal systems and systems with norm-bounded uncertainties, respectively. Some numerical examples show the effectiveness of the derived results.

KW - Delay-dependent stability

KW - Linear matrix inequality (LMI)

KW - Lyapunov-Krasovskii functionals (LKFs)

KW - Nonuniform partition

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/84884935429

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JF - Journal of University of Science and Technology of China

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ER -

Delay-dependent criteria for robust stability of linear systems with time-varying delay

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