On the robustness of continuous trajectories of the control system described by an integral equation
| dc.authorid | 0000-0002-3911-2304 | tr |
| dc.contributor.author | Hüseyin, Nesir | |
| dc.contributor.author | Hüseyin, Anar | |
| dc.date.accessioned | 2023-12-29T06:04:39Z | |
| dc.date.available | 2023-12-29T06:04:39Z | |
| dc.date.issued | 30.05.2023 | tr |
| dc.department | Fen Fakültesi | tr |
| dc.description.abstract | In this paper the control system described by Urysohn type integral equation is studied. It is assumed that control functions are integrally constrained. The trajectory of the system is defined as multivariable continuous function which satisfies the system’s equation everywhere. It is shown that the set of trajectories is Lipschitz continuous with respect to the parameter which characterizes the bound of the control resource. An upper estimation for the diameter of the set of trajectories is obtained. The robustness of the trajectories with respect to the fast consumption of the remaining control resource is discussed. It is proved that every trajectory can be approximated by the trajectory obtained by full consumption of the control resource. | tr |
| dc.identifier.doi | 10.7468/jksmeb.2023.30.2.191 | en_US |
| dc.identifier.endpage | 201 | tr |
| dc.identifier.issn | 1226-0657/2287-6081 | |
| dc.identifier.issue | 2 | tr |
| dc.identifier.startpage | 191 | tr |
| dc.identifier.uri | https://www.acoms.kisti.re.kr/journal/intro.do?journalSeq=J000051 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12418/14146 | |
| dc.identifier.volume | 30 | tr |
| dc.identifier.wos | WOS:001033608600006 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | KOREAN SOC MATHEMATICAL EDUCATION | tr |
| dc.relation.ispartof | JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | en_US |
| dc.relation.publicationcategory | Uluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanı | tr |
| dc.rights | info:eu-repo/semantics/openAccess | tr |
| dc.subject | Urysohn integral equation, nonlinear control system, integral constraint, robustness. | tr |
| dc.title | On the robustness of continuous trajectories of the control system described by an integral equation | en_US |
| dc.type | Article | en_US |
