On LQ optimization problem subject to fractional order irregular singular systems
In this paper we discuss the linear quadratic (LQ) optimization problem subject to fractional order irregular singular systems. The aim of this paper is to find the control-state pairs satisfying the dynamic constraint of the form a fractional order irregular singular systems such that the LQ object...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Polish Academy of Sciences
2020-12-01
|
| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/118772/PDF/art07.pdf |
| _version_ | 1811330194546360320 |
|---|---|
| author | Muhafzan Admi, Nazra Lyra, Yulianti Zulakmal Refi, Revina |
| author_facet | Muhafzan Admi, Nazra Lyra, Yulianti Zulakmal Refi, Revina |
| author_sort | Muhafzan |
| collection | DOAJ |
| description | In this paper we discuss the linear quadratic (LQ) optimization problem subject to fractional order irregular singular systems. The aim of this paper is to find the control-state pairs satisfying the dynamic constraint of the form a fractional order irregular singular systems such that the LQ objective functional is minimized. The method of solving is to convert such LQ optimization into the standard fractional LQ optimization problem. Under some particularly conditions we find the solution of the problem under consideration. |
| first_indexed | 2024-04-13T15:57:01Z |
| format | Article |
| id | doaj.art-21970d656ab841f5b21daddbbff6ed79 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-13T15:57:01Z |
| publishDate | 2020-12-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-21970d656ab841f5b21daddbbff6ed792022-12-22T02:40:38ZengPolish Academy of SciencesArchives of Control Sciences1230-23842020-12-01vol. 30No 4745756https://doi.org/10.24425/acs.2020.135850On LQ optimization problem subject to fractional order irregular singular systemsMuhafzanAdmi, NazraLyra, YuliantiZulakmalRefi, RevinaIn this paper we discuss the linear quadratic (LQ) optimization problem subject to fractional order irregular singular systems. The aim of this paper is to find the control-state pairs satisfying the dynamic constraint of the form a fractional order irregular singular systems such that the LQ objective functional is minimized. The method of solving is to convert such LQ optimization into the standard fractional LQ optimization problem. Under some particularly conditions we find the solution of the problem under consideration.https://journals.pan.pl/Content/118772/PDF/art07.pdflinear quadratic optimizationfractional orderirregular singular systemcaputo fractional derivativemittag-leffler function |
| spellingShingle | Muhafzan Admi, Nazra Lyra, Yulianti Zulakmal Refi, Revina On LQ optimization problem subject to fractional order irregular singular systems Archives of Control Sciences linear quadratic optimization fractional order irregular singular system caputo fractional derivative mittag-leffler function |
| title | On LQ optimization problem subject to fractional order irregular singular systems |
| title_full | On LQ optimization problem subject to fractional order irregular singular systems |
| title_fullStr | On LQ optimization problem subject to fractional order irregular singular systems |
| title_full_unstemmed | On LQ optimization problem subject to fractional order irregular singular systems |
| title_short | On LQ optimization problem subject to fractional order irregular singular systems |
| title_sort | on lq optimization problem subject to fractional order irregular singular systems |
| topic | linear quadratic optimization fractional order irregular singular system caputo fractional derivative mittag-leffler function |
| url | https://journals.pan.pl/Content/118772/PDF/art07.pdf |
| work_keys_str_mv | AT muhafzan onlqoptimizationproblemsubjecttofractionalorderirregularsingularsystems AT adminazra onlqoptimizationproblemsubjecttofractionalorderirregularsingularsystems AT lyrayulianti onlqoptimizationproblemsubjecttofractionalorderirregularsingularsystems AT zulakmal onlqoptimizationproblemsubjecttofractionalorderirregularsingularsystems AT refirevina onlqoptimizationproblemsubjecttofractionalorderirregularsingularsystems |