A new delay-dependent stability criterion for time-delay systems

Jian Sun; G. P. Liu

doi:10.1002/asjc.121

A new delay-dependent stability criterion for time-delay systems

Jian Sun^*
, G. P. Liu

^*Corresponding author for this work

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

21 Citations (Scopus)

Abstract

This paper is concerned with the problem of stability of time-delay systems. A new type of augmented Lyapunov functional is proposed. By introducing some free-weighting matrices and using the parameterized model transformation method, a new delay-dependent stability condition is obtained in terms of a linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed methods.

Original language	English
Pages (from-to)	427-431
Number of pages	5
Journal	Asian Journal of Control
Volume	11
Issue number	4
DOIs	https://doi.org/10.1002/asjc.121
Publication status	Published - Jul 2009
Externally published	Yes

Keywords

Augmented Lyapunov functional
Delay-dependent stability
Linear matrix inequality (LMI).
Time-delay systems

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10.1002/asjc.121

Cite this

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abstract = "This paper is concerned with the problem of stability of time-delay systems. A new type of augmented Lyapunov functional is proposed. By introducing some free-weighting matrices and using the parameterized model transformation method, a new delay-dependent stability condition is obtained in terms of a linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed methods.",

keywords = "Augmented Lyapunov functional, Delay-dependent stability, Linear matrix inequality (LMI)., Time-delay systems",

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AU - Liu, G. P.

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AB - This paper is concerned with the problem of stability of time-delay systems. A new type of augmented Lyapunov functional is proposed. By introducing some free-weighting matrices and using the parameterized model transformation method, a new delay-dependent stability condition is obtained in terms of a linear matrix inequality (LMI). Numerical examples are given to illustrate the effectiveness of the proposed methods.

KW - Augmented Lyapunov functional

KW - Delay-dependent stability

KW - Linear matrix inequality (LMI).

KW - Time-delay systems

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U2 - 10.1002/asjc.121

DO - 10.1002/asjc.121

M3 - Article

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SN - 1561-8625

VL - 11

SP - 427

EP - 431

JO - Asian Journal of Control

JF - Asian Journal of Control

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ER -

A new delay-dependent stability criterion for time-delay systems

Abstract

Keywords

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