Robust stability and robust stabilization of uncertain linear time-delay systems [2-s2.0-33645061777]

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dc.authorscopusid57221092049
dc.contributor.authorParlakçi, M.N.A.
dc.date.accessioned2024-07-18T20:17:42Z
dc.date.available2024-07-18T20:17:42Z
dc.date.issued2005
dc.description.abstractIn this paper, the problem of robust stability analysis and robust stabilization with memoryless state feedback control for linear systems with time-varying delayed state and norm-bounded timevarying uncertainties are investigated. The proposed method employs Leibnitz-Newton type model transformation, but unlike existing approaches, it does not involve any additional dynamics. As the additional dynamics induce additional eigenvalues that may move into the right-hand complex s-plane before any of the eigenvalues of the original system does, it causes conservatism in the system. Moreover, quite a few existing methods do apply Leibnitz-Newton model transformation without including additional dynamics. However, the matrix inequalities that they obtained are not in the form of linear matrix inequalities. Thus, these matrix inequalities could not be solved by using any convex optimization algorithms. Instead, they could only give suboptimal maximal delay bounds. However, our proposed stability and stabilization criteria depending on both the size of the time delay and its derivative are derived in the form of solvable linear matrix inequalities that can be easily converted into a generalized eigenvalue minimization problem. Numerical examples given for the purpose of comparison with some existing results show that the proposed robust stability and robust stabilization criteria yield less conservative results.en_US
dc.identifier.endpage27en_US
dc.identifier.issn0137-1223
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-33645061777en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage15en_US
dc.identifier.urihttps://hdl.handle.net/11411/6697
dc.identifier.volume31en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofSystems Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEigenvalues And Eigenfunctionsen_US
dc.subjectFeedback Controlen_US
dc.subjectMathematical Transformationsen_US
dc.subjectRobustness (Control Systems)en_US
dc.subjectSystem Stabilityen_US
dc.subjectLinear Time-Delay Systemsen_US
dc.subjectModel Transformationen_US
dc.subjectRobust Stabilizationen_US
dc.subjectLinear Systemsen_US
dc.titleRobust stability and robust stabilization of uncertain linear time-delay systems [2-s2.0-33645061777]en_US
dc.typeReview Articleen_US

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