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A gradient projection method for solving nonlinear optimal control problems with time-varying delays | ||
| Journal of Mathematical Modeling | ||
| دوره 14، شماره 2، مرداد 2026، صفحه 363-378 اصل مقاله (575.37 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.30121.2691 | ||
| نویسندگان | ||
| Seyed Mojtaba Meshkani1؛ Sohrab Effati* 2؛ Aghileh Heydari1 | ||
| 1Department of Mathematics, Payame Noor University, 19395-4697, Tehran, Iran | ||
| 2Department of Applied Mathematics, Faculty of Mathematical Science, Ferdowsi University of Mashhad, Mashhad, Iran | ||
| چکیده | ||
| An effective numerical method using gradient projection is proposed for solving an optimal control problems that involve time-varying delays in control and state variables. First, a variational inequality is established as necessary conditions. The main idea in variational inequality is to compute the gradient of the objective functional, taking into account time-dependent delays in control and state variables. Then, an iterative scheme utilizing a projection operator is presented, followed by a convergence analysis of the method for a coercive objective functional. At the end, several examples are provided to illustrate that the theoretical finding is efficient. | ||
| کلیدواژهها | ||
| Nonlinear optimal control problems؛ time delay systems؛ variational inequality؛ time-varying delay؛ gradient projection method | ||
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آمار تعداد مشاهده مقاله: 109 تعداد دریافت فایل اصل مقاله: 149 |
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