Improved stability criteria for linear systems with time-varying delay

J. Sun; G. P. Liu; J. Chen; D. Rees

doi:10.1049/iet-cta.2008.0508

Improved stability criteria for linear systems with time-varying delay

J. Sun^*, G. P. Liu, J. Chen, D. Rees

^*Corresponding author for this work

School of Automation

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

53 Citations (Scopus)

Abstract

This study is concerned with the stability analysis of systems with time-varying delay in a given interval. A new type of augmented Lyapunov functional which contains some triple-integral terms is proposed. By introducing free-weighting matrices, a new delay-range-dependent stability criterion is derived in terms of linear matrix inequality. The rate-range of the delay is considered, so the stability criterion is also delay-rate-range dependent. Numerical examples are given to illustrate the effectiveness of the proposed method.

Original language	English
Pages (from-to)	683-689
Number of pages	7
Journal	IET Control Theory and Applications
Volume	4
Issue number	4
DOIs	https://doi.org/10.1049/iet-cta.2008.0508
Publication status	Published - Apr 2010

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10.1049/iet-cta.2008.0508

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abstract = "This study is concerned with the stability analysis of systems with time-varying delay in a given interval. A new type of augmented Lyapunov functional which contains some triple-integral terms is proposed. By introducing free-weighting matrices, a new delay-range-dependent stability criterion is derived in terms of linear matrix inequality. The rate-range of the delay is considered, so the stability criterion is also delay-rate-range dependent. Numerical examples are given to illustrate the effectiveness of the proposed method.",

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AB - This study is concerned with the stability analysis of systems with time-varying delay in a given interval. A new type of augmented Lyapunov functional which contains some triple-integral terms is proposed. By introducing free-weighting matrices, a new delay-range-dependent stability criterion is derived in terms of linear matrix inequality. The rate-range of the delay is considered, so the stability criterion is also delay-rate-range dependent. Numerical examples are given to illustrate the effectiveness of the proposed method.

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Improved stability criteria for linear systems with time-varying delay

Abstract

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