On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations

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

doi:10.1016/j.amc.2008.05.097

On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations

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

57 Scopus citations

Abstract

In this paper, we propose a new delay-dependent stability criterion for dynamic systems with time-varying delays and nonlinear perturbations. Based on the Lyapunov method, a sufficient delay-dependent criterion for asymptotic stability is derived in terms of linear matrix inequality (LMI). Numerical examples are given to show the effectiveness of our result.

Original language	English
Pages (from-to)	937-942
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	203
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2008.05.097
State	Published - 15 Sep 2008

Keywords

Delay
Dynamic systems
LMI
Lyapunov method
Nonlinear perturbations

Access to Document

10.1016/j.amc.2008.05.097

Cite this

@article{f71288febc304b7c8333ebc585026264,

title = "On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations",

abstract = "In this paper, we propose a new delay-dependent stability criterion for dynamic systems with time-varying delays and nonlinear perturbations. Based on the Lyapunov method, a sufficient delay-dependent criterion for asymptotic stability is derived in terms of linear matrix inequality (LMI). Numerical examples are given to show the effectiveness of our result.",

keywords = "Delay, Dynamic systems, LMI, Lyapunov method, Nonlinear perturbations",

author = "Kwon, \{O. M.\} and Park, \{Ju H.\} and Lee, \{S. M.\}",

year = "2008",

month = sep,

day = "15",

doi = "10.1016/j.amc.2008.05.097",

language = "English",

volume = "203",

pages = "937--942",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "2",

}

TY - JOUR

T1 - On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations

AU - Kwon, O. M.

AU - Park, Ju H.

AU - Lee, S. M.

PY - 2008/9/15

Y1 - 2008/9/15

N2 - In this paper, we propose a new delay-dependent stability criterion for dynamic systems with time-varying delays and nonlinear perturbations. Based on the Lyapunov method, a sufficient delay-dependent criterion for asymptotic stability is derived in terms of linear matrix inequality (LMI). Numerical examples are given to show the effectiveness of our result.

AB - In this paper, we propose a new delay-dependent stability criterion for dynamic systems with time-varying delays and nonlinear perturbations. Based on the Lyapunov method, a sufficient delay-dependent criterion for asymptotic stability is derived in terms of linear matrix inequality (LMI). Numerical examples are given to show the effectiveness of our result.

KW - Delay

KW - Dynamic systems

KW - LMI

KW - Lyapunov method

KW - Nonlinear perturbations

UR - https://www.scopus.com/pages/publications/51749105223

U2 - 10.1016/j.amc.2008.05.097

DO - 10.1016/j.amc.2008.05.097

M3 - Article

AN - SCOPUS:51749105223

SN - 0096-3003

VL - 203

SP - 937

EP - 942

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

On robust stability criterion for dynamic systems with time-varying delays and nonlinear perturbations

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this