Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomial
In this paper, a numerical solution for solving a special class of optimal control problems is considered. The main idea of the solution is to parameterize the state space by approximating the state function using a linear combination of Hermite polynomial with unknown coefficients an iterative meth...
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| Format: | Article |
| Language: | English |
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Unviversity of Technology- Iraq
2017-01-01
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| Series: | Engineering and Technology Journal |
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| Online Access: | https://etj.uotechnology.edu.iq/article_133675_9249b33ae57ad68bd7d1dc5b6c7c6abd.pdf |
| _version_ | 1797325999782756352 |
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| author | S.S. Hasen |
| author_facet | S.S. Hasen |
| author_sort | S.S. Hasen |
| collection | DOAJ |
| description | In this paper, a numerical solution for solving a special class of optimal control problems is considered. The main idea of the solution is to parameterize the state space by approximating the state function using a linear combination of Hermite polynomial with unknown coefficients an iterative method is proposed in order to facilitate the computation of unknown coefficients. Some illustrated examples are included to test the efficiency of algorithm. |
| first_indexed | 2024-03-08T06:17:18Z |
| format | Article |
| id | doaj.art-3e89f10e74b04d23be7b687718810e81 |
| institution | Directory Open Access Journal |
| issn | 1681-6900 2412-0758 |
| language | English |
| last_indexed | 2024-03-08T06:17:18Z |
| publishDate | 2017-01-01 |
| publisher | Unviversity of Technology- Iraq |
| record_format | Article |
| series | Engineering and Technology Journal |
| spelling | doaj.art-3e89f10e74b04d23be7b687718810e812024-02-04T17:18:45ZengUnviversity of Technology- IraqEngineering and Technology Journal1681-69002412-07582017-01-01351B414510.30684/etj.35.1B.9133675Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomialS.S. HasenIn this paper, a numerical solution for solving a special class of optimal control problems is considered. The main idea of the solution is to parameterize the state space by approximating the state function using a linear combination of Hermite polynomial with unknown coefficients an iterative method is proposed in order to facilitate the computation of unknown coefficients. Some illustrated examples are included to test the efficiency of algorithm.https://etj.uotechnology.edu.iq/article_133675_9249b33ae57ad68bd7d1dc5b6c7c6abd.pdfhermite polynomialoptimal control problemsstate parameterization |
| spellingShingle | S.S. Hasen Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomial Engineering and Technology Journal hermite polynomial optimal control problems state parameterization |
| title | Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomial |
| title_full | Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomial |
| title_fullStr | Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomial |
| title_full_unstemmed | Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomial |
| title_short | Numerical Solution for A Special Class of optimal Control Problem by using Hermite polynomial |
| title_sort | numerical solution for a special class of optimal control problem by using hermite polynomial |
| topic | hermite polynomial optimal control problems state parameterization |
| url | https://etj.uotechnology.edu.iq/article_133675_9249b33ae57ad68bd7d1dc5b6c7c6abd.pdf |
| work_keys_str_mv | AT sshasen numericalsolutionforaspecialclassofoptimalcontrolproblembyusinghermitepolynomial |