| dc.contributor.author | Yıldız, Bengi | |
| dc.contributor.author | Büyükköroğlu, Taner | |
| dc.contributor.author | Dzhafarov, Vakif | |
| dc.date.accessioned | 2019-10-20T14:27:58Z | |
| dc.date.available | 2019-10-20T14:27:58Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.uri | https://dx.doi.org/10.1186/s13660-016-1194-x | |
| dc.identifier.uri | https://hdl.handle.net/11421/17949 | |
| dc.description | WOS: 000386598000002 | en_US |
| dc.description.abstract | In 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. | en_US |
| dc.description.sponsorship | Anadolu University Research Fund [1605F464] | en_US |
| dc.description.sponsorship | The authors thank the reviewer for his valuable comments. This work is supported by the Anadolu University Research Fund under Contract 1605F464. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Springer International Publishing Ag | en_US |
| dc.relation.isversionof | 10.1186/s13660-016-1194-x | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Interval Matrices | en_US |
| dc.subject | Lyapunov Inequality | en_US |
| dc.subject | Diagonal Stability | en_US |
| dc.subject | Common Diagonal Solution | en_US |
| dc.subject | Minimax Problem | en_US |
| dc.title | Common diagonal solutions to the Lyapunov inequalities for interval systems | en_US |
| dc.type | article | en_US |
| dc.relation.journal | Journal of Inequalities and Applications | en_US |
| dc.contributor.department | Anadolu Üniversitesi, Fen Fakültesi, Matematik Bölümü | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US] |
| dc.contributor.institutionauthor | Büyükköroğlu, Taner | |
| dc.contributor.institutionauthor | Dzhafarov, Vakif | |
