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Optimal control of time delay Fredholm integro-differential equations | ||
| Journal of Mathematical Modeling | ||
| دوره 9، شماره 2، مرداد 2021، صفحه 277-291 اصل مقاله (368.14 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2020.17213.1496 | ||
| نویسندگان | ||
| Maryam Alipour1؛ Samaneh Soradi-Zeid* 2 | ||
| 1Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran | ||
| 2Faculty of Industry and Mining (khash), University of Sistan and Baluchestan, Zahedan, Iran | ||
| چکیده | ||
| This paper is devoted to solve a set of non-linear optimal control problems which are touched with time-delay Fredholm integro-differential equations. The serious objective of this work is to contribute an appropriate direct scheme for solving these problems. The technique used in this paper is based upon the Dickson polynomials and collocation points. Getting through the solutions, the states and controls variables can be approximated with Dickson polynomials. Therefore, the optimal control problem with time-delay integro-differential equation transforms into a system of algebraic equations that by solving it, we can obtain the unknown coefficients of the main problem. The residual error estimation of this technique is also investigated. Accuracy amount of the absolute errors have been studied for the performance of this method by solving several non-trivial examples. | ||
| کلیدواژه‌ها | ||
| Optimal control problems؛ Dickson polynomials؛ Time-delay equation؛ Fredholm integrao-differential equation؛ Collocation points | ||
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آمار تعداد مشاهده مقاله: 742 تعداد دریافت فایل اصل مقاله: 873 |
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