In this paper, an Optimal Homotopy Analysis Method (Optimal HAM) is applied to solve the
linear optimal control problems (OCPs), which have a quadratic performance index. This …

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 …

In this paper, we use the variational iteration method (VIM) for optimal control problems.
First, optimal control problems are transferred to Hamilton–Jacobi–Bellman (HJB) equation …

In this paper, we present a computational method for solving optimal control problems and
the controlled Duffing oscillator. This method is based on state parametrization. In fact, the …

In this paper, we obtain the approximate solutions for optimal control of linear systems,
which have a quadratic performance index. The differential transform method (DTM) is …

A combination of the hybrid spectral collocation technique and the homotopy analysis
method is used to construct an iteration algorithm for solving a class of nonlinear optimal …

In this study, we propose a hybrid method that combines the homotopy perturbation method
(HPM) and Padé technique to obtain the approximate analytic solution of the Hamilton …

This paper presents a numerical indirect method based on shifted Legendre polynomials for
solving fractional linear quadratic time-variant optimal control problems (FLQTVOCPs) in the …

Here, a two‐phase algorithm is proposed for solving bounded continuous‐time nonlinear
optimal control problems (NOCP). In each phase of the algorithm, a modified hybrid genetic …

Principle of optimality or dynamic programming leads to derivation of a partial differential
equation (PDE) for solving optimal control problems, namely the Hamilton‐Jacobi‐Bellman …