Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method
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Inthispaper,wesolveHamilton-Jocobi-Bellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregiventodemonstratethesimplicity and efficiency of the proposed method.
کلید واژگان
Homotopy Perturbation Transform Method (HPTM)Homotopy Perturbation Method (HPM)
Laplace transformation
Optimal control problems(OCP)
Hamilton-Jocobi-Bellman(HJB)
تاریخ نشر
2019-12-011398-09-10
ناشر
Semnan Universityسازمان پدید آورنده
Department of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, IranDepartment of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
Department of Mathematics, Iran University of science and Technology, Tehran,Iran. Department of Mathematical Sciences,University of South Africa, UNISA 0003, South Africa
Department of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, Iran
