A numerical method for solving quadratic fractional optimal control problems
The objective of this article is to present a novel algorithm that can efficiently address fractional quadratic optimal control problems (FQOCPs) through the application of the generalized differential transform method, in conjunction with a Vandermonde matrix. The algorithm’s performance, in terms...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-12-01
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| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720723001327 |
| _version_ | 1797615850958618624 |
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| author | Sanaa L. Khalaf Khulood K. Kassid Ayad R. Khudair |
| author_facet | Sanaa L. Khalaf Khulood K. Kassid Ayad R. Khudair |
| author_sort | Sanaa L. Khalaf |
| collection | DOAJ |
| description | The objective of this article is to present a novel algorithm that can efficiently address fractional quadratic optimal control problems (FQOCPs) through the application of the generalized differential transform method, in conjunction with a Vandermonde matrix. The algorithm’s performance, in terms of solution accuracy, reliability, and efficiency, is exemplified by a range of illustrative examples. This paper introduces an innovative methodology for the numerical resolution of FQOCPs, demonstrating its inherent capabilities and efficacy. |
| first_indexed | 2024-03-11T07:32:50Z |
| format | Article |
| id | doaj.art-51b4cb4af10045469de590d1d9877516 |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-03-11T07:32:50Z |
| publishDate | 2023-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-51b4cb4af10045469de590d1d98775162023-11-17T05:28:27ZengElsevierResults in Control and Optimization2666-72072023-12-0113100330A numerical method for solving quadratic fractional optimal control problemsSanaa L. Khalaf0Khulood K. Kassid1Ayad R. Khudair2Corresponding author.; Basra University, Faculty of Science Department of Mathematics, Basra, IraqBasra University, Faculty of Science Department of Mathematics, Basra, IraqBasra University, Faculty of Science Department of Mathematics, Basra, IraqThe objective of this article is to present a novel algorithm that can efficiently address fractional quadratic optimal control problems (FQOCPs) through the application of the generalized differential transform method, in conjunction with a Vandermonde matrix. The algorithm’s performance, in terms of solution accuracy, reliability, and efficiency, is exemplified by a range of illustrative examples. This paper introduces an innovative methodology for the numerical resolution of FQOCPs, demonstrating its inherent capabilities and efficacy.http://www.sciencedirect.com/science/article/pii/S2666720723001327Quadratic optimal controlCaputo fractional derivativeFractional optimal control problemsGeneralized differential transform method |
| spellingShingle | Sanaa L. Khalaf Khulood K. Kassid Ayad R. Khudair A numerical method for solving quadratic fractional optimal control problems Results in Control and Optimization Quadratic optimal control Caputo fractional derivative Fractional optimal control problems Generalized differential transform method |
| title | A numerical method for solving quadratic fractional optimal control problems |
| title_full | A numerical method for solving quadratic fractional optimal control problems |
| title_fullStr | A numerical method for solving quadratic fractional optimal control problems |
| title_full_unstemmed | A numerical method for solving quadratic fractional optimal control problems |
| title_short | A numerical method for solving quadratic fractional optimal control problems |
| title_sort | numerical method for solving quadratic fractional optimal control problems |
| topic | Quadratic optimal control Caputo fractional derivative Fractional optimal control problems Generalized differential transform method |
| url | http://www.sciencedirect.com/science/article/pii/S2666720723001327 |
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