eprintid: 13995 rev_number: 6 eprint_status: archive userid: 353 dir: disk0/00/01/39/95 datestamp: 2016-11-28 10:21:25 lastmod: 2021-08-27 17:41:39 status_changed: 2016-11-28 10:21:25 type: article metadata_visibility: show item_issues_count: 1 creators_name: Aseev, S.M. creators_id: 6509 title: Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints ispublished: pub divisions: prog_asa keywords: optimal control, infinite horizon, unbounded controls, existence of a solution, the Pontryagin maximum principle abstract: We consider a class of infinite-horizon optimal control problems with not necessarily bounded set of control constraints. Sufficient conditions for the existence of an optimal control are derived in the general nonlinear case by means of finite-horizon approximations and the tools of the Pontryagin maximum principle. Conditions guaranteeing the uniform local boundedness of optimal controls are also obtained. date: 2016-04 id_number: doi:10.21538/0134-4889-2016-22-2-18-27 creators_browse_id: 19 full_text_status: none publication: Trudy Instituta Matematiki i Mekhaniki UrO RAN volume: 22 number: 2 pagerange: 18-27 refereed: TRUE issn: 0134-4889 coversheets_dirty: FALSE fp7_project: no fp7_type: info:eu-repo/semantics/article citation: Aseev, S.M. (2016). Existence of an optimal control in infinite-horizon problems with unbounded set of control constraints. Trudy Instituta Matematiki i Mekhaniki UrO RAN 22 (2) 18-27. 10.21538/0134-4889-2016-22-2-18-27 .