Stability of Abstract Linear Switched Impulsive Differential Equations
| dc.authorid | Tunc, Cemil/0000-0003-2909-8753 | |
| dc.authorid | Vitaliy, Slyn'Ko/0000-0002-2321-922X | |
| dc.authorscopusid | 6603780508 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorwosid | Tunç, Cemil/Afh-0945-2022 | |
| dc.contributor.author | Slynko, Vitalii | |
| dc.contributor.author | Tunc, Cemil | |
| dc.date.accessioned | 2025-05-10T17:25:45Z | |
| dc.date.available | 2025-05-10T17:25:45Z | |
| dc.date.issued | 2019 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Slyn'ko, Vitalii] NAS Ukraine, SP Timoshenko Inst Mech, Stabil Proc Dept, UA-03680 Kiev 57, Ukraine; [Tunc, Cemil] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey | en_US |
| dc.description | Tunc, Cemil/0000-0003-2909-8753; Vitaliy, Slyn'Ko/0000-0002-2321-922X | en_US |
| dc.description.abstract | Linear impulsive switched differential equations in Hilbert space are studied. We propose a new method of stability investigation, which is based in constructing an equivalent impulsive system without switching. Using operator-valued and scalar Lyapunov functions, sufficient conditions for Lyapunov stability of linear switched impulsive equations in a Banach space are established. The examples of studies of this class of equations with periodic switching are given. (C) 2019 Elsevier Ltd. All rights reserved. | en_US |
| dc.description.sponsorship | Ministry of Education and Science of Ukraine project [0116U004691]; The Scientific and Technological Research Council of Turkey (2221-Fellowships for Visiting Scientists and Scientists on Sabbatical Leave - 2221-2017/2 period) | en_US |
| dc.description.sponsorship | This research was completed with the support of The Scientific and Technological Research Council of Turkey (2221-Fellowships for Visiting Scientists and Scientists on Sabbatical Leave - 2221-2017/2 period) when Vitalii Slyn'ko was a visiting scholar at Van Yuzuncu Yil University, Van, Turkey. . This work was also partially supported by the Ministry of Education and Science of Ukraine project 0116U004691. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1016/j.automatica.2019.06.001 | |
| dc.identifier.endpage | 441 | en_US |
| dc.identifier.issn | 0005-1098 | |
| dc.identifier.issn | 1873-2836 | |
| dc.identifier.scopus | 2-s2.0-85067895804 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 433 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.automatica.2019.06.001 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/11465 | |
| dc.identifier.volume | 107 | en_US |
| dc.identifier.wos | WOS:000481723300048 | |
| 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.subject | Lyapunov Stability | en_US |
| dc.subject | Hilbert Spaces | en_US |
| dc.subject | Switched Systems | en_US |
| dc.subject | Impulsive Systems | en_US |
| dc.subject | Lyapunov Function | en_US |
| dc.title | Stability of Abstract Linear Switched Impulsive Differential Equations | en_US |
| dc.type | Article | en_US |