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dc.contributor.authorNoutsos, D.en
dc.contributor.authorTsatsomeros, M. J.en
dc.date.accessioned2015-11-24T17:27:47Z-
dc.date.available2015-11-24T17:27:47Z-
dc.identifier.issn0895-4798-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13447-
dc.rightsDefault Licence-
dc.subjecteventually nonnegative matrixen
dc.subjectexponentially nonnegative matrixen
dc.subjectpoint of non-negative potentialen
dc.subjectperron-frobeniusen
dc.subjectmetzler matrixen
dc.subjectconvex coneen
dc.subjectmatricesen
dc.titleReachability and Holdability of Nonnegative Statesen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primaryDoi 10.1137/070693850-
heal.identifier.secondary<Go to ISI>://000259955600015-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2008-
heal.abstractLinear differential systems. x(t) = Ax(t) (A is an element of R(nxn), x(0) = x(0) is an element of R(n), t >= 0) whose solutions become and remain nonnegative are studied. It is shown that the eigenvalue of A furthest to the right must be real and must possess nonnegative right and left eigenvectors. Moreover, for some a >= 0, A + aI must be eventually nonnegative, that is, its powers must become and remain entrywise nonnegative. Initial conditions x(0) that result in nonnegative states x(t) infinite time are shown to form a convex cone that is related to the matrix exponential e(tA) and its eventual nonnegativity.en
heal.publisherSociety for Industrial and Applied Mathematicsen
heal.journalNameSiam Journal on Matrix Analysis and Applicationsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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