Augmented Lyapunov functional approach to stability of uncertain neutral systems with time-varying delays

O. M. Kwon; Ju H. Park; S. M. Lee

doi:10.1016/j.amc.2008.10.018

Augmented Lyapunov functional approach to stability of uncertain neutral systems with time-varying delays

O. M. Kwon
, Ju H. Park
, S. M. Lee

School of Electronics Engineering

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

76 Scopus citations

Abstract

In this paper, the problem of delay-dependent stability for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By constructing an augmented Lyapunov functionals, a novel delay-dependent stability criterion for the system is established in terms of LMIs (linear matrix inequalities). Six numerical examples are given to show the effectiveness of proposed method.

Original language	English
Pages (from-to)	202-212
Number of pages	11
Journal	Applied Mathematics and Computation
Volume	207
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2008.10.018
State	Published - 1 Jan 2009

Keywords

LMI
Lyapunov method
Time-varying delays
Uncertain neutral systems

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10.1016/j.amc.2008.10.018

Cite this

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abstract = "In this paper, the problem of delay-dependent stability for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By constructing an augmented Lyapunov functionals, a novel delay-dependent stability criterion for the system is established in terms of LMIs (linear matrix inequalities). Six numerical examples are given to show the effectiveness of proposed method.",

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AU - Lee, S. M.

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N2 - In this paper, the problem of delay-dependent stability for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By constructing an augmented Lyapunov functionals, a novel delay-dependent stability criterion for the system is established in terms of LMIs (linear matrix inequalities). Six numerical examples are given to show the effectiveness of proposed method.

AB - In this paper, the problem of delay-dependent stability for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By constructing an augmented Lyapunov functionals, a novel delay-dependent stability criterion for the system is established in terms of LMIs (linear matrix inequalities). Six numerical examples are given to show the effectiveness of proposed method.

KW - LMI

KW - Lyapunov method

KW - Time-varying delays

KW - Uncertain neutral systems

UR - https://www.scopus.com/pages/publications/58249090770

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DO - 10.1016/j.amc.2008.10.018

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ER -

Augmented Lyapunov functional approach to stability of uncertain neutral systems with time-varying delays

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Keywords

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