Solving The Optimal Control Problems Using Homotopy Perturbation Transform Method

Document Type : Special issue editorial


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


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.


  • Receive Date: 04 July 2019
  • Revise Date: 10 October 2019
  • Accept Date: 23 October 2019