dc.contributor.author | Alias, Idham A. | |
dc.contributor.author | Huseyin, Nesir | |
dc.contributor.author | Huseyin, Anar | |
dc.date.accessioned | 2019-07-27T12:10:23Z | |
dc.date.accessioned | 2019-07-28T09:46:05Z | |
dc.date.available | 2019-07-27T12:10:23Z | |
dc.date.available | 2019-07-28T09:46:05Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 1029-242X | |
dc.identifier.uri | https://dx.doi.org/10.1186/s13660-015-0908-9 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12418/7458 | |
dc.description | WOS: 000369312400001 | en_US |
dc.description.abstract | In this paper the control system is considered described by a Urysohn type integral equation which is nonlinear with respect to the state vector and is affine with respect to the control vector. The functions from the space L-2([t(0),theta]; R-m) satisfying a quadratic integral constraint are chosen as admissible control functions. The set of trajectories generated by all admissible control functions is studied. The boundedness, closedness, precompactness, and hence the compactness of the set of trajectories in the space of continuous functions is proved. | en_US |
dc.description.sponsorship | Universiti Putra Malaysia Research Fund | en_US |
dc.description.sponsorship | This work has been fully supported by Universiti Putra Malaysia Research Fund. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | SPRINGER INTERNATIONAL PUBLISHING AG | en_US |
dc.relation.isversionof | 10.1186/s13660-015-0908-9 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Urysohn type integral equation | en_US |
dc.subject | control system | en_US |
dc.subject | quadratic integral constraint | en_US |
dc.subject | set of trajectories | en_US |
dc.title | Compactness of the set of trajectories of the control system described by a Urysohn type integral equation with quadratic integral constraints on the control functions | en_US |
dc.type | article | en_US |
dc.relation.journal | JOURNAL OF INEQUALITIES AND APPLICATIONS | en_US |
dc.contributor.department | [Alias, Idham A.] Univ Putra Malaysia, Fac Sci, Dept Math, Serdang 43400, Selangor, Malaysia -- [Huseyin, Nesir] Cumhuriyet Univ, Fac Educ, TR-58140 Sivas, Turkey -- [Huseyin, Anar] Cumhuriyet Univ, Fac Sci, TR-58140 Sivas, Turkey | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |