Approximations of the set of trajectories and integral funnel of the nonlinear control systems with $L_p$ norm constraints on the control functions
| dc.authorid | 0000-0002-3911-2304 | tr |
| dc.contributor.author | Hüseyin, Anar | |
| dc.date.accessioned | 2023-06-23T05:09:48Z | |
| dc.date.available | 2023-06-23T05:09:48Z | |
| dc.date.issued | 29.11.2022 | tr |
| dc.department | Fen Fakültesi | tr |
| dc.description.abstract | In this paper, approximations of the set of trajectories and integral funnel of the control system described by non-linear ordinary differential equation with integral constraint on the control functions are considered. The set of admissible control functions is replaced by a set, consisting of a finite number of piecewise-constant control functions. It is shown that the set of trajectories generated by a finite number of piecewise-constant control functions is an internal approximation of the set of trajectories. Further, each trajectory generated by a piecewise-constant control function is substituted by appropriate Euler’s broken line and it is proved that the set consisting of a finite number of Euler’s broken lines is an approximation of the set of trajectories of given control system. An approximation of the system’s integral funnel by a set consisting of a finite number of points is obtained. | tr |
| dc.identifier.citation | N. Huseyin, A. Huseyin, Kh.G. Guseinov. Approximations of the set of trajectories and integral funnel of the nonlinear control systems with L_p norm constraints on the control functions. IMA Journal of Mathematical Control and Information. 2022, vol.39, no.4, pp.1213-1231. | tr |
| dc.identifier.doi | 10.1093/imamci/dnac028 | en_US |
| dc.identifier.endpage | 1231 | tr |
| dc.identifier.issn | 1471-6887 | |
| dc.identifier.issue | 4 | tr |
| dc.identifier.scopus | 2-s2.0-85156109945 | en_US |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 1213 | tr |
| dc.identifier.uri | https://hdl.handle.net/20.500.12418/13999 | |
| dc.identifier.volume | 39 | tr |
| dc.identifier.wos | WOS:000886405400001 | en_US |
| dc.identifier.wosquality | Q2 | |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Oxford University Press | tr |
| dc.relation.ispartof | IMA Journal of Mathematical Control and Information | en_US |
| dc.relation.publicationcategory | Uluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanı | tr |
| dc.rights | info:eu-repo/semantics/openAccess | tr |
| dc.title | Approximations of the set of trajectories and integral funnel of the nonlinear control systems with $L_p$ norm constraints on the control functions | en_US |
| dc.type | Article | en_US |
