Stability bound analysis of singularly perturbed systems with time-delay

Stability bound analysis of singularly perturbed systems with time-delay

This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals. The proposed criteria are less conservative than the existing ones. Two numerical examples are g...

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Main Authors: Sun Fengqi, Yang Chunyu, Zhang Qingling, Shen Yongxiang
Format: Article
Language:English
Published: Association of the Chemical Engineers of Serbia 2013-01-01
Series:Chemical Industry and Chemical Engineering Quarterly
Subjects:
singularly perturbed systems
stability bound
linear matrix inequality
Lyapunov-Krasovskii functional
Online Access:http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200083S.pdf
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spelling doaj-51c576af057c42b9b47156426d13436b2020-11-24T23:47:19ZengAssociation of the Chemical Engineers of SerbiaChemical Industry and Chemical Engineering Quarterly1451-93722217-74342013-01-0119450551110.2298/CICEQ120329083S1451-93721200083SStability bound analysis of singularly perturbed systems with time-delaySun Fengqi0Yang Chunyu1Zhang Qingling2Shen Yongxiang3Institute of Systems Science, Northeastern University, Shenyang, P.R. ChinaSchool of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, P.R. ChinaInstitute of Systems Science, Northeastern University, Shenyang, P.R. ChinaMathmatical Department of Jilin Normal University, Siping, P.R. ChinaThis paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals. The proposed criteria are less conservative than the existing ones. Two numerical examples are given to illustrate the advantages and effectiveness of the proposed methods.http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200083S.pdfsingularly perturbed systemsstability boundlinear matrix inequalityLyapunov-Krasovskii functional
collection DOAJ
language English
format Article
sources DOAJ
author Sun Fengqi
Yang Chunyu
Zhang Qingling
Shen Yongxiang
spellingShingle Sun Fengqi
Yang Chunyu
Zhang Qingling
Shen Yongxiang
Stability bound analysis of singularly perturbed systems with time-delay
Chemical Industry and Chemical Engineering Quarterly
singularly perturbed systems
stability bound
linear matrix inequality
Lyapunov-Krasovskii functional
author_facet Sun Fengqi
Yang Chunyu
Zhang Qingling
Shen Yongxiang
author_sort Sun Fengqi
title Stability bound analysis of singularly perturbed systems with time-delay
title_short Stability bound analysis of singularly perturbed systems with time-delay
title_full Stability bound analysis of singularly perturbed systems with time-delay
title_fullStr Stability bound analysis of singularly perturbed systems with time-delay
title_full_unstemmed Stability bound analysis of singularly perturbed systems with time-delay
title_sort stability bound analysis of singularly perturbed systems with time-delay
publisher Association of the Chemical Engineers of Serbia
series Chemical Industry and Chemical Engineering Quarterly
issn 1451-9372
2217-7434
publishDate 2013-01-01
description This paper considers the stability bound problem of singularly perturbed systems with time-delay. Some stability criteria are derived by constructing appropriate Lyapunov-Krasovskii functionals. The proposed criteria are less conservative than the existing ones. Two numerical examples are given to illustrate the advantages and effectiveness of the proposed methods.
topic singularly perturbed systems
stability bound
linear matrix inequality
Lyapunov-Krasovskii functional
url http://www.doiserbia.nb.rs/img/doi/1451-9372/2013/1451-93721200083S.pdf
work_keys_str_mv AT sunfengqi stabilityboundanalysisofsingularlyperturbedsystemswithtimedelay
AT yangchunyu stabilityboundanalysisofsingularlyperturbedsystemswithtimedelay
AT zhangqingling stabilityboundanalysisofsingularlyperturbedsystemswithtimedelay
AT shenyongxiang stabilityboundanalysisofsingularlyperturbedsystemswithtimedelay
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