The optimal control problem is investigated for oscillation processes, described by integro-differential equations with the Fredholm operator when functions of external and boundary sources non-linearly depend on components of optimal vector controls. Optimality conditions having specific properties in the case of vector controls were found. A sufficient condition is established for unique solvability of the nonlinear optimization problem and its complete solution is constructed in the form of optimal control, an optimal process, and a minimum value of the functional.
Publication Name (dc.title) | Solvability of Optimization Problem for the Oscillation Processes with Optimal Vector Controls |
Author/s (dc.contributor.yazarlar) | Elmira Abdyldaeva, Akylbek Kerimbekov |
Publication type (dc.type) | Makale |
Language (dc.language) | İngilizce |
Publication year (dc.date.issued) | 2019 |
National/International (dc.identifier.ulusaluluslararasi) | Uluslararası |
Source (dc.relation.journal) | Filomat |
Additional source name / Conference information (dc.identifier.kaynakadiekbilgi) | 8th International Conference on Mathematical Analysis, Differential Equation and Applications (MADEA).- Cholpon Ata, KYRGYZSTAN.- JUN 17-23, 2018 |
Number (dc.identifier.issue) | 5 |
Volume/Issue (dc.identifier.volume) | 33 |
Page (dc.identifier.startpage) | 1369-1379 |
ISSN/ISBN (dc.identifier.issn) | ISSN: 0354-5180; Online ISSN: 2406-0933 |
Publisher (dc.publisher) | Prirodno-matematički fakultet, University of Niš, Serbia |
Databases (dc.contributor.veritaban) | Web of Science Core Collection |
Databases (dc.contributor.veritaban) | Kaynak web sitesi |
Databases (dc.contributor.veritaban) | Scopus |
Index Type (dc.identifier.index) | SCI Expanded |
Index Type (dc.identifier.index) | Scopus |
Impact Factor (dc.identifier.etkifaktoru) | 0,789 / 2018-WOS / 5 Year: 0,852 |
Abstract (dc.description.abstract) | The optimal control problem is investigated for oscillation processes, described by integro-differential equations with the Fredholm operator when functions of external and boundary sources non-linearly depend on components of optimal vector controls. Optimality conditions having specific properties in the case of vector controls were found. A sufficient condition is established for unique solvability of the nonlinear optimization problem and its complete solution is constructed in the form of optimal control, an optimal process, and a minimum value of the functional. |
URL (dc.rights) | http://www.pmf.ni.ac.rs/filomat-content/2019/33-5/33-5-10-8888.pdf |
DOI (dc.identifier.doi) | 10.2298/FIL1905369A |
Faculty / Institute (dc.identifier.fakulte) | Fen Fakültesi |
Department (dc.identifier.bolum) | Matematik Bölümü |
Author(s) in the Institution (dc.contributor.author) | Elmira ABDILDAYEVA |
Author(s) in the Institution (dc.contributor.author) | Akılbek KERİMBEKOV |
Kayıt No (dc.identifier.kayitno) | BLCFBBFC9E |
Record Add Date (dc.date.available) | 2019-11-29 |
Notes (Publication year) (dc.identifier.notyayinyili) | 2019 |
Wos No (dc.identifier.wos) | WOS:000496192400011 |
Subject Headings (dc.subject) | uniformly distributed and boundary vector control |
Subject Headings (dc.subject) | generalized solution |
Subject Headings (dc.subject) | functional |
Subject Headings (dc.subject) | optimality conditions |
Subject Headings (dc.subject) | system of linear integral equations |