Common diagonal solutions to the Lyapunov inequalities for interval systems

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dc.authoridDzhafarov, Vakif/0000-0002-2348-5181
dc.contributor.authorYildiz, Bengi
dc.contributor.authorBuyukkoroglu, Taner
dc.contributor.authorDzhafarov, Vakif
dc.date.accessioned2025-05-20T18:56:02Z
dc.date.issued2016
dc.departmentBilecik Şeyh Edebali Üniversitesi
dc.description.abstractIn this paper for interval systems we consider the problem of existence and evaluation of common diagonal solutions to the Lyapunov inequalities. For second order systems, we give necessary and sufficient conditions and exact solutions, that is, complete theoretical solutions. For third order systems, an algorithm for the evaluation of common solutions in the case of existence is given. In the general case a sufficient condition is obtained for a common diagonal solution in terms of the center and upper bound matrices of an interval family.
dc.description.sponsorshipAnadolu University Research Fund [1605F464]
dc.description.sponsorshipThe authors thank the reviewer for his valuable comments. This work is supported by the Anadolu University Research Fund under Contract 1605F464.
dc.identifier.doi10.1186/s13660-016-1194-x
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84991628155
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1186/s13660-016-1194-x
dc.identifier.urihttps://hdl.handle.net/11552/7503
dc.identifier.wosWOS:000386598000002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWoS
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWoS - Science Citation Index Expanded
dc.language.isoen
dc.publisherSpringer International Publishing Ag
dc.relation.ispartofJournal of Inequalities and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250518
dc.subjectinterval matrices
dc.subjectLyapunov inequality
dc.subjectdiagonal stability
dc.subjectcommon diagonal solution
dc.subjectminimax problem
dc.titleCommon diagonal solutions to the Lyapunov inequalities for interval systems
dc.typeArticle

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