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

Chungbuk National University
Yeungnam University

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

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10.1016/j.jfranklin.2016.09.010

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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.",

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AU - Park, Ju H.

AU - Lee, S. M.

PY - 2016/12/1

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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.

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

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