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

^*Corresponding author for this work

University of Science and Technology of China

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

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	523-531
Number of pages	9
Journal	Journal of University of Science and Technology of China
Volume	43
Issue number	7
DOIs	https://doi.org/10.3969/j.issn.0253-2778.2013.07.002
Publication status	Published - 2013
Externally published	Yes

Keywords

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

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10.3969/j.issn.0253-2778.2013.07.002

Cite this

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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.",

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T1 - Delay-dependent criteria for robust stability of linear systems with time-varying delay

AU - Meng, H.

AU - Kang, Y.

AU - Zhai, D.

PY - 2013

Y1 - 2013

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

U2 - 10.3969/j.issn.0253-2778.2013.07.002

DO - 10.3969/j.issn.0253-2778.2013.07.002

M3 - Article

AN - SCOPUS:84884935429

SN - 0253-2778

VL - 43

SP - 523

EP - 531

JO - Journal of University of Science and Technology of China

JF - Journal of University of Science and Technology of China

IS - 7

ER -

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

Abstract

Keywords

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