Improvement on the feasible region of H∞ performance and stability for systems with interval time-varying delays via augmented Lyapunov–Krasivskii functional

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

doi:10.1016/j.jfranklin.2016.09.010

Improvement on the feasible region of H_∞ performance and stability for systems with interval time-varying delays via augmented Lyapunov–Krasivskii functional

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

School of Electronics Engineering

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

21 Scopus citations

Abstract

This paper deals with the problems of stability and H_∞ performance analysis for systems of linear model with time delays, which are time-varying in an interval. By choosing a Lyapunov–Krasovskii functional in the form of the augmented structure, a new sufficient condition for stability of the interested systems is drawn by means of linear matrix inequalities (LMIs). Based on the proposed method, a criterion for H_∞ performance analysis is also presented as the second result. The predominance and validity of the proposed criteria are validated through three numerical examples.

Original language	English
Pages (from-to)	4979-5000
Number of pages	22
Journal	Journal of the Franklin Institute
Volume	353
Issue number	18
DOIs	https://doi.org/10.1016/j.jfranklin.2016.09.010
State	Published - 1 Dec 2016

Access to Document

10.1016/j.jfranklin.2016.09.010

Cite this

@article{72e6f7fbcf6449e99f4b40b5ed83a3fc,

title = "Improvement on the feasible region of H∞ performance and stability for systems with interval time-varying delays via augmented Lyapunov–Krasivskii functional",

abstract = "This paper deals with the problems of stability and H∞ performance analysis for systems of linear model with time delays, which are time-varying in an interval. By choosing a Lyapunov–Krasovskii functional in the form of the augmented structure, a new sufficient condition for stability of the interested systems is drawn by means of linear matrix inequalities (LMIs). Based on the proposed method, a criterion for H∞ performance analysis is also presented as the second result. The predominance and validity of the proposed criteria are validated through three numerical examples.",

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

note = "Publisher Copyright: {\textcopyright} 2016 The Franklin Institute",

year = "2016",

month = dec,

day = "1",

doi = "10.1016/j.jfranklin.2016.09.010",

language = "English",

volume = "353",

pages = "4979--5000",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

publisher = "Elsevier Ltd.",

number = "18",

}

TY - JOUR

T1 - Improvement on the feasible region of H∞ performance and stability for systems with interval time-varying delays via augmented Lyapunov–Krasivskii functional

AU - Kwon, O. M.

AU - Park, M. J.

AU - Park, Ju H.

AU - Lee, S. M.

PY - 2016/12/1

Y1 - 2016/12/1

N2 - This paper deals with the problems of stability and H∞ performance analysis for systems of linear model with time delays, which are time-varying in an interval. By choosing a Lyapunov–Krasovskii functional in the form of the augmented structure, a new sufficient condition for stability of the interested systems is drawn by means of linear matrix inequalities (LMIs). Based on the proposed method, a criterion for H∞ performance analysis is also presented as the second result. The predominance and validity of the proposed criteria are validated through three numerical examples.

AB - This paper deals with the problems of stability and H∞ performance analysis for systems of linear model with time delays, which are time-varying in an interval. By choosing a Lyapunov–Krasovskii functional in the form of the augmented structure, a new sufficient condition for stability of the interested systems is drawn by means of linear matrix inequalities (LMIs). Based on the proposed method, a criterion for H∞ performance analysis is also presented as the second result. The predominance and validity of the proposed criteria are validated through three numerical examples.

UR - https://www.scopus.com/pages/publications/84992315896

U2 - 10.1016/j.jfranklin.2016.09.010

DO - 10.1016/j.jfranklin.2016.09.010

M3 - Article

AN - SCOPUS:84992315896

SN - 0016-0032

VL - 353

SP - 4979

EP - 5000

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 18

ER -

Improvement on the feasible region of H_∞ performance and stability for systems with interval time-varying delays via augmented Lyapunov–Krasivskii functional

Abstract

Access to Document

Other files and links

Fingerprint

Cite this