This paper presents a novel extended modal series method for solving the infinite horizon
optimal control problem of nonlinear interconnected large‐scale dynamic systems. In 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 give an analytical approximate solution for non-linear quadratic optimal
control problems and optimal control of linear systems using the homotopy perturbation …

This paper presents an analytical approximate solution for a class of nonlinear quadratic
optimal control problems. The proposed method consists of a Variational Iteration Method …

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 article considers the problem of optimal guidance laws for cooperative attack of multiple
missiles based on the optimal control theory. New guidance laws are presented such that …

In this study, we are currently investigating the controllability of nonlinear fractional
differential control systems with delays in the state function. The solution representations of …

In this article, we explored the controllability of fractional dynamical systems with a single
delay in the control function with the Caputo fractional derivative. It is the first work in which …