Hamilton–Jacobi–Bellman equation. By using the finite iterations of PTVIM, an analytic

approximate solution for value function and suboptimal feedback control law is obtained. Some illustrative

examples are employed to demonstrate the accuracy...

of a class of fractional optimal control problems. The method is based upon finding the numerical solution of the Hamilton–Jacobi–Bellman equation, corresponding to this problem, by the Legendre–Gauss collocation method. The main reason for using...

In this paper, we give an analytical-approximate solution for the Hamilton–Jacobi–Bellman

(HJB) equation arising in optimal control problems using He’s polynomials based on

homotopy perturbation method (HPM). ...