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Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method | ||
International Journal of Nonlinear Analysis and Applications | ||
مقاله 3، دوره 10، Special Issue ( Nonlinear Analysis in Engineering and Sciences)، اسفند 2019، صفحه 25-38 اصل مقاله (151.92 K) | ||
نوع مقاله: Special issue editorial | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.4394 | ||
نویسندگان | ||
M. Alipour1؛ F. Soltanian* 1؛ J. Vahidi2؛ S. Ghasempour1 | ||
1Department of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, Iran | ||
2Department of Mathematics, Iran University of science and Technology, Tehran,Iran. Department of Mathematical Sciences,University of South Africa, UNISA 0003, South Africa | ||
تاریخ دریافت: 13 تیر 1398، تاریخ بازنگری: 18 مهر 1398، تاریخ پذیرش: 01 آبان 1398 | ||
چکیده | ||
In this paper, we solve Hamilton-Jacobi-Bellman (HJB) equations arising in optimal control problems using Homotopy Perturbation Transform Method (HPTM). The proposed method is a combined form of the Laplace Transformation Method with the Homotopy Perturbation Method to produce a highly effective method to handle many problems. Applying the HPTM, the solution procedure becomes easier, simpler and more straightforward. Some illustrative examples are given to demonstrate the simplicity and efficiency of the proposed method. | ||
کلیدواژهها | ||
Homotopy Perturbation Transform Method (HPTM)؛ Homotopy Perturbation Method (HPM)؛ Laplace Transformation؛ Optimal control problems(OCP)؛ Hamilton-Jocobi-Bellman(HJB) | ||
آمار تعداد مشاهده مقاله: 42,404 تعداد دریافت فایل اصل مقاله: 552 |