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A Gradient Projection Method for Solving Nonlinear Optimal Control Problems with Time-Varying Delays | ||
Journal of Mathematical Modeling | ||
مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 05 شهریور 1404 اصل مقاله (575.34 K) | ||
نوع مقاله: Special Issue: 7th National Seminar on Control and Optimization | ||
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 | ||
آمار تعداد مشاهده مقاله: 2 تعداد دریافت فایل اصل مقاله: 2 |