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Alipour, M., Soltanian, F., Vahidi, J., Ghasempour, S.. (1398). Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method. هنرهای کاربردی, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), 25-38. doi: 10.22075/ijnaa.2019.4394
M. Alipour; F. Soltanian; J. Vahidi; S. Ghasempour. "Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method". هنرهای کاربردی, 10, Special Issue ( Nonlinear Analysis in Engineering and Sciences), 1398, 25-38. doi: 10.22075/ijnaa.2019.4394
Alipour, M., Soltanian, F., Vahidi, J., Ghasempour, S.. (1398). 'Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method', هنرهای کاربردی, 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)), pp. 25-38. doi: 10.22075/ijnaa.2019.4394
Alipour, M., Soltanian, F., Vahidi, J., Ghasempour, S.. Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method. هنرهای کاربردی, 1398; 10(Special Issue ( Nonlinear Analysis in Engineering and Sciences)): 25-38. doi: 10.22075/ijnaa.2019.4394

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)
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