On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays

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

doi:10.1016/j.amc.2007.08.048

On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays

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

School of Electronics Engineering

Chungbuk National University
Yeungnam University

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

93 Scopus citations

Abstract

In this paper, we propose a new stability criterion for uncertain neutral systems. The considered system has time-varying structured uncertainties and time-varying delay. Based on the Lyapunov method, a delay-dependent criterion for asymptotic stability is derived in terms of LMI (linear matrix inequality). Numerical examples are given to show the effectiveness of our results.

Original language	English
Pages (from-to)	864-873
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	197
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2007.08.048
State	Published - 1 Apr 2008

Keywords

LMI
Lyapunov method
Neutral systems
Stability
Time-varying delay

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10.1016/j.amc.2007.08.048

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abstract = "In this paper, we propose a new stability criterion for uncertain neutral systems. The considered system has time-varying structured uncertainties and time-varying delay. Based on the Lyapunov method, a delay-dependent criterion for asymptotic stability is derived in terms of LMI (linear matrix inequality). Numerical examples are given to show the effectiveness of our results.",

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AU - Lee, S. M.

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N2 - In this paper, we propose a new stability criterion for uncertain neutral systems. The considered system has time-varying structured uncertainties and time-varying delay. Based on the Lyapunov method, a delay-dependent criterion for asymptotic stability is derived in terms of LMI (linear matrix inequality). Numerical examples are given to show the effectiveness of our results.

AB - In this paper, we propose a new stability criterion for uncertain neutral systems. The considered system has time-varying structured uncertainties and time-varying delay. Based on the Lyapunov method, a delay-dependent criterion for asymptotic stability is derived in terms of LMI (linear matrix inequality). Numerical examples are given to show the effectiveness of our results.

KW - LMI

KW - Lyapunov method

KW - Neutral systems

KW - Stability

KW - Time-varying delay

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DO - 10.1016/j.amc.2007.08.048

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ER -

On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays

Abstract

Keywords

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