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Solving the Optimal Control Problems Using Homotopy Perturbation Transform Method
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نویسنده
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alipour m. ,soltanian f. ,vahidi j. ,ghasempour s.
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منبع
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international journal of nonlinear analysis and applications - 2019 - دوره : 10 - شماره : Special Issue - صفحه:25 -38
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چکیده
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In this paper, we solve hamilton-jocobi-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, solution procedure becomes easier, simpler and more straightforward. some illustrative examples are given to demonstrate the simplicity and efficiency of the proposed method.
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کلیدواژه
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Homotopy Perturbation Transform Method (HPTM) ,Homotopy Perturbation Method (HPM) ,Laplace Transformation ,Optimal control problems(OCP) ,Hamilton-Jocobi-Bellman(HJB)
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آدرس
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payame noor university, department of mathematics, Iran, payame noor university, department of mathematics, Iran, iran university of science and technology, Iran. university of south africa (unisa), department of mathematical sciences, South Africa, payame noor university, department of mathematics, Iran
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Authors
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