Delay-dependent stability criteria for interval time-varying delay systems with nonuniform delay partitioning approach
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| Názov: | Delay-dependent stability criteria for interval time-varying delay systems with nonuniform delay partitioning approach |
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| Autori: | Parlakci, Mehmet Nur Alpaslan |
| Informácie o vydavateľovi: | Tubitak Scientific & Technological Research Council Turkey |
| Rok vydania: | 2011 |
| Zbierka: | Istanbul Bilgi University: Open Access |
| Predmety: | Time Delay Systems, İnterval Time-Varying Delay, Delay Partitioning, Cone Complementary Method, Linear Matrix İnequality, Robust Stability, Uncertain Systems |
| Popis: | This paper investigates the conservatism reduction of Lyapunov-Krasovskii based conditions for the stability of a class of interval time-varying delay systems. The main idea is based on the nonuniform decomposition of the integral terms of the Lyapunov-Krasovskii functional. The delay interval is decomposed into a finite number of nonuniform segments with some scaling parameters Both differentiable delay case and non-differentiable delay case and unknown delay derivative bound case are taken into consideration. Sufficient delay-dependent stability criteria are derived in terms of matrix inequalities. Two suboptimal delau fractionation schemes, namely, linearization with cone complementary technique and linearization under additional constraints are introduced in Order to find a feasible solution set using LMI solvers with a convex optimization algorithm so that a suboptimal maximum allowable delay upper bound is achieved. It is theoretically demonstrated that the proposed technique has reduced complexity in comparison to some existing delay fractionation methods from the literature. A numerical example with case studies is given to demonstrate the effectiveness of the proposed method with respect to some existing ones from the literature. |
| Druh dokumentu: | article in journal/newspaper |
| Jazyk: | English |
| Relation: | Turkish Journal of Electrical Engineering and Computer Sciences; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://search.trdizin.gov.tr/yayin/detay/117479; https://hdl.handle.net/11411/8189; 773; Q3; 763; 117479; 19; Q4; WOS:000294086700008 |
| DOI: | 10.3906/elk-1007-591 |
| Dostupnosť: | https://hdl.handle.net/11411/8189 https://doi.org/10.3906/elk-1007-591 https://search.trdizin.gov.tr/yayin/detay/117479 |
| Rights: | info:eu-repo/semantics/openAccess |
| Prístupové číslo: | edsbas.4EE2924E |
| Databáza: | BASE |
Nájsť tento článok vo Web of Science | FullText | Text: Availability: 0 CustomLinks: – Url: https://hdl.handle.net/11411/8189# Name: EDS - BASE (s4221598) Category: fullText Text: View record from BASE – Url: https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=EBSCO&SrcAuth=EBSCO&DestApp=WOS&ServiceName=TransferToWoS&DestLinkType=GeneralSearchSummary&Func=Links&author=Parlakci%20MNA Name: ISI Category: fullText Text: Nájsť tento článok vo Web of Science Icon: https://imagesrvr.epnet.com/ls/20docs.gif MouseOverText: Nájsť tento článok vo Web of Science |
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| Header | DbId: edsbas DbLabel: BASE An: edsbas.4EE2924E RelevancyScore: 843 AccessLevel: 3 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 842.654235839844 |
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| Items | – Name: Title Label: Title Group: Ti Data: Delay-dependent stability criteria for interval time-varying delay systems with nonuniform delay partitioning approach – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Parlakci%2C+Mehmet+Nur+Alpaslan%22">Parlakci, Mehmet Nur Alpaslan</searchLink> – Name: Publisher Label: Publisher Information Group: PubInfo Data: Tubitak Scientific & Technological Research Council Turkey – Name: DatePubCY Label: Publication Year Group: Date Data: 2011 – Name: Subset Label: Collection Group: HoldingsInfo Data: Istanbul Bilgi University: Open Access – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Time+Delay+Systems%22">Time Delay Systems</searchLink><br /><searchLink fieldCode="DE" term="%22İnterval+Time-Varying+Delay%22">İnterval Time-Varying Delay</searchLink><br /><searchLink fieldCode="DE" term="%22Delay+Partitioning%22">Delay Partitioning</searchLink><br /><searchLink fieldCode="DE" term="%22Cone+Complementary+Method%22">Cone Complementary Method</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+Matrix+İnequality%22">Linear Matrix İnequality</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+Stability%22">Robust Stability</searchLink><br /><searchLink fieldCode="DE" term="%22Uncertain+Systems%22">Uncertain Systems</searchLink> – Name: Abstract Label: Description Group: Ab Data: This paper investigates the conservatism reduction of Lyapunov-Krasovskii based conditions for the stability of a class of interval time-varying delay systems. The main idea is based on the nonuniform decomposition of the integral terms of the Lyapunov-Krasovskii functional. The delay interval is decomposed into a finite number of nonuniform segments with some scaling parameters Both differentiable delay case and non-differentiable delay case and unknown delay derivative bound case are taken into consideration. Sufficient delay-dependent stability criteria are derived in terms of matrix inequalities. Two suboptimal delau fractionation schemes, namely, linearization with cone complementary technique and linearization under additional constraints are introduced in Order to find a feasible solution set using LMI solvers with a convex optimization algorithm so that a suboptimal maximum allowable delay upper bound is achieved. It is theoretically demonstrated that the proposed technique has reduced complexity in comparison to some existing delay fractionation methods from the literature. A numerical example with case studies is given to demonstrate the effectiveness of the proposed method with respect to some existing ones from the literature. – Name: TypeDocument Label: Document Type Group: TypDoc Data: article in journal/newspaper – Name: Language Label: Language Group: Lang Data: English – Name: NoteTitleSource Label: Relation Group: SrcInfo Data: Turkish Journal of Electrical Engineering and Computer Sciences; Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı; https://search.trdizin.gov.tr/yayin/detay/117479; https://hdl.handle.net/11411/8189; 773; Q3; 763; 117479; 19; Q4; WOS:000294086700008 – Name: DOI Label: DOI Group: ID Data: 10.3906/elk-1007-591 – Name: URL Label: Availability Group: URL Data: https://hdl.handle.net/11411/8189<br />https://doi.org/10.3906/elk-1007-591<br />https://search.trdizin.gov.tr/yayin/detay/117479 – Name: Copyright Label: Rights Group: Cpyrght Data: info:eu-repo/semantics/openAccess – Name: AN Label: Accession Number Group: ID Data: edsbas.4EE2924E |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.3906/elk-1007-591 Languages: – Text: English Subjects: – SubjectFull: Time Delay Systems Type: general – SubjectFull: İnterval Time-Varying Delay Type: general – SubjectFull: Delay Partitioning Type: general – SubjectFull: Cone Complementary Method Type: general – SubjectFull: Linear Matrix İnequality Type: general – SubjectFull: Robust Stability Type: general – SubjectFull: Uncertain Systems Type: general Titles: – TitleFull: Delay-dependent stability criteria for interval time-varying delay systems with nonuniform delay partitioning approach Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Parlakci, Mehmet Nur Alpaslan IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2011 Identifiers: – Type: issn-locals Value: edsbas – Type: issn-locals Value: edsbas.oa |
| ResultId | 1 |