Further results on stability criteria for linear systems with time-varying delay

Jian Sun; G. P. Liu; Jie Chen

doi:10.1109/ICSMC.2008.4811710

Further results on stability criteria for linear systems with time-varying delay

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

^*Corresponding author for this work

School of Automation

Research output: Contribution to journal › Conference article › peer-review

7 Citations (Scopus)

Abstract

The issue of stability of linear systems with timevarying delay is considered in this paper. By constructing a new type of Lyapunov functional which contains a novel triple integral term and using Finsler's lemma, new delay-dependent stability criteria are derived in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.

Original language	English
Article number	4811710
Pages (from-to)	2736-2740
Number of pages	5
Journal	Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
DOIs	https://doi.org/10.1109/ICSMC.2008.4811710
Publication status	Published - 2008
Event	2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008 - Singapore, Singapore Duration: 12 Oct 2008 → 15 Oct 2008

Keywords

Delay dependent stability
Finsler's lemma
Linear matrix inequality (LMI)
Time-varying delay

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10.1109/ICSMC.2008.4811710

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title = "Further results on stability criteria for linear systems with time-varying delay",

abstract = "The issue of stability of linear systems with timevarying delay is considered in this paper. By constructing a new type of Lyapunov functional which contains a novel triple integral term and using Finsler's lemma, new delay-dependent stability criteria are derived in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.",

keywords = "Delay dependent stability, Finsler's lemma, Linear matrix inequality (LMI), Time-varying delay",

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

year = "2008",

doi = "10.1109/ICSMC.2008.4811710",

language = "English",

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journal = "Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics",

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AU - Sun, Jian

AU - Liu, G. P.

AU - Chen, Jie

PY - 2008

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N2 - The issue of stability of linear systems with timevarying delay is considered in this paper. By constructing a new type of Lyapunov functional which contains a novel triple integral term and using Finsler's lemma, new delay-dependent stability criteria are derived in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.

AB - The issue of stability of linear systems with timevarying delay is considered in this paper. By constructing a new type of Lyapunov functional which contains a novel triple integral term and using Finsler's lemma, new delay-dependent stability criteria are derived in terms of linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed method.

KW - Delay dependent stability

KW - Finsler's lemma

KW - Linear matrix inequality (LMI)

KW - Time-varying delay

UR - https://www.scopus.com/pages/publications/69949157422

U2 - 10.1109/ICSMC.2008.4811710

DO - 10.1109/ICSMC.2008.4811710

M3 - Conference article

AN - SCOPUS:69949157422

SN - 1062-922X

SP - 2736

EP - 2740

JO - Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

JF - Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

M1 - 4811710

T2 - 2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008

Y2 - 12 October 2008 through 15 October 2008

ER -

Further results on stability criteria for linear systems with time-varying delay

Abstract

Keywords

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