Reachability and Holdability of Nonnegative States
| dc.contributor.author | Noutsos, D. | en |
| dc.contributor.author | Tsatsomeros, M. J. | en |
| dc.date.accessioned | 2015-11-24T17:27:47Z | |
| dc.date.available | 2015-11-24T17:27:47Z | |
| dc.identifier.issn | 0895-4798 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13447 | |
| dc.rights | Default Licence | - |
| dc.subject | eventually nonnegative matrix | en |
| dc.subject | exponentially nonnegative matrix | en |
| dc.subject | point of non-negative potential | en |
| dc.subject | perron-frobenius | en |
| dc.subject | metzler matrix | en |
| dc.subject | convex cone | en |
| dc.subject | matrices | en |
| dc.title | Reachability and Holdability of Nonnegative States | en |
| heal.abstract | Linear 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.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1137/070693850 | - |
| heal.identifier.secondary | <Go to ISI>://000259955600015 | - |
| heal.journalName | Siam Journal on Matrix Analysis and Applications | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2008 | - |
| heal.publisher | Society for Industrial and Applied Mathematics | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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