Sufficient Conditions for Stability of Periodic Linear Impulsive Delay Systems
| 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 | Slyn'ko, V. I. | |
| dc.contributor.author | Tunc, Cemil | |
| dc.date.accessioned | 2025-05-10T17:44:00Z | |
| dc.date.available | 2025-05-10T17:44:00Z | |
| dc.date.issued | 2018 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Slyn'ko, V. I.] Natl Acad Sci Ukraine, Timoshenko Inst Mech, Kiev, Ukraine; [Tunc, Cemil] Van Yuzuncu Yil Univ, Van, Turkey | en_US |
| dc.description | Tunc, Cemil/0000-0003-2909-8753; Vitaliy, Slyn'Ko/0000-0002-2321-922X | en_US |
| dc.description.abstract | For a linear periodic system with impulsive action and delay, new approaches to the study of stability were proposed on the basis of the methods of spectral theory of linear operators, direct Lyapunov method, and N.G. Chetaev method for construction of the Lyapunov functions for the periodic linear systems, as well as the perturbation method for construction of the Lyapunov functions. These methods underlie the sufficient conditions for asymptotic stability of the linear periodic systems with impulsive action and delay. We gave some illustrative examples of studying stability of such systems under different assumptions about the dynamic properties of the continuous and discrete components of the impulsive system. | en_US |
| dc.description.sponsorship | Turkish Council for Scientific and Technological Studies of (2221-grant for the researchers 2221-2017 / 2 period); [FBA-2017-5868] | en_US |
| dc.description.sponsorship | This study was completed under the support of the Turkish Council for Scientific and Technological Studies of (2221-grant for the researchers 2221-2017 / 2 period) and FBA-2017-5868, when Vitalii Slyn'ko was an invited scientist at the Van Yuzuncu Yil University, Van, Turkey. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.1134/S0005117918110048 | |
| dc.identifier.endpage | 2004 | en_US |
| dc.identifier.issn | 0005-1179 | |
| dc.identifier.issn | 1608-3032 | |
| dc.identifier.issue | 11 | en_US |
| dc.identifier.scopus | 2-s2.0-85056723845 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 1989 | en_US |
| dc.identifier.uri | https://doi.org/10.1134/S0005117918110048 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/16040 | |
| dc.identifier.volume | 79 | en_US |
| dc.identifier.wos | WOS:000450516900004 | |
| dc.identifier.wosquality | Q4 | |
| dc.language.iso | en | en_US |
| dc.publisher | Maik Nauka/interperiodica/springer | 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 | Linear Periodic Impulsive Delay System | en_US |
| dc.subject | Lyapunov Stability | en_US |
| dc.subject | Lyapunov Function | en_US |
| dc.subject | Floquet-Lyapunov Theory | en_US |
| dc.title | Sufficient Conditions for Stability of Periodic Linear Impulsive Delay Systems | en_US |
| dc.type | Article | en_US |