Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method

Document Type: Special issue editorial

Authors

1 Department of Mathematics,Payame Noor University, P.O.Box 19395-3697, Tehran, Iran

2 Department of Mathematics, Iran University of science and Technology, Tehran,Iran. Department of Mathematical Sciences,University of South Africa, UNISA 0003, South Africa

10.22075/ijnaa.2019.4394

Abstract

Inthispaper,wesolveHamilton-Jocobi-Bellman(HJB)equationsarisinginoptimalcontrolproblems usingHomotopyPerturbationTransformMethod(HPTM).Theproposedmethodisacombinedform oftheLaplaceTransformationMethodwiththeHomotopyPerturbationMethodtoproduceahighly effectivemethodtohandlemanyproblems. ApplyingtheHPTM,solutionprocedurebecomeseasier, simplerandmorestraightforward. Someillustrativeexamplesaregiventodemonstratethesimplicity and efficiency of the proposed method.

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