Construction of a Lyapunov Function for a Linear Large-Scale Periodic System With Possibly Unstable Subsystems
| dc.authorid | Vitaliy, Slyn'Ko/0000-0002-2321-922X | |
| dc.authorid | Tunc, Osman/0000-0003-2965-4561 | |
| dc.authorscopusid | 6603780508 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorscopusid | 57200760207 | |
| dc.authorwosid | Tunç, Osman/Gre-9544-2022 | |
| dc.contributor.author | Slynko, V | |
| dc.contributor.author | Tunc, O. | |
| dc.contributor.author | Atamas, I | |
| dc.date.accessioned | 2025-05-10T17:12:00Z | |
| dc.date.available | 2025-05-10T17:12:00Z | |
| dc.date.issued | 2022 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Slynko, V; Atamas, I] Univ Wurzburg, Inst Math, Emil Fischer Str 40, D-97074 Wurzburg, Germany; [Tunc, O.] Van Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programing, Campus, TR-65080 Van, Turkey | en_US |
| dc.description | Vitaliy, Slyn'Ko/0000-0002-2321-922X; Tunc, Osman/0000-0003-2965-4561 | en_US |
| dc.description.abstract | This article proposes an approach to construct a Lyapunov function for a linear large-scale periodic system. In this case, in contrast to various variants of small-gain stability conditions for large-scale systems, the presence of the asymptotic stability property of independent subsystems is not assumed. To analyze the asymptotic stability of a large-scale system, the direct Lyapunov method is used in combination with the discretization method and identities of the commutator calculus. The main results are illustrated by means of examples. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | German Research Foundation (DFG) [DA 767/12-1]; Deutscher Akademischer Austauschdienst (DAAD) [91775148] | en_US |
| dc.description.sponsorship | This research was supported by the German Research Foundation (DFG), grant no. DA 767/12-1 and Deutscher Akademischer Austauschdienst (DAAD), Personal ref. no.: 91775148 | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1016/j.jfranklin.2022.07.052 | |
| dc.identifier.endpage | 7539 | en_US |
| dc.identifier.issn | 0016-0032 | |
| dc.identifier.issn | 1879-2693 | |
| dc.identifier.issue | 14 | en_US |
| dc.identifier.scopus | 2-s2.0-85136768866 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 7510 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jfranklin.2022.07.052 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/7777 | |
| dc.identifier.volume | 359 | en_US |
| dc.identifier.wos | WOS:000855295200013 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Pergamon-elsevier Science Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Construction of a Lyapunov Function for a Linear Large-Scale Periodic System With Possibly Unstable Subsystems | en_US |
| dc.type | Article | en_US |