dc.contributor.author | Hüseyin, Nesir | |
dc.date.accessioned | 2023-06-23T05:12:54Z | |
dc.date.available | 2023-06-23T05:12:54Z | |
dc.date.issued | 29.11.2022 | 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.issn | 1471-6887 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12418/14006 | |
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.language.iso | eng | tr |
dc.publisher | Oxford University Press | tr |
dc.relation.isversionof | https://doi.org/10.1093/imamci/dnac028 | 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 | tr |
dc.type | article | tr |
dc.relation.journal | IMA Journal of Mathematical Control and Information | tr |
dc.contributor.department | Eğitim Fakültesi | tr |
dc.contributor.authorID | 0000-0001-7652-1505 | tr |
dc.identifier.volume | 39 | tr |
dc.identifier.issue | 4 | tr |
dc.identifier.endpage | 1231 | tr |
dc.identifier.startpage | 1213 | tr |
dc.relation.publicationcategory | Uluslararası Hakemli Dergide Makale - Kurum Öğretim Elemanı | tr |