Mostafa Noori.aboozari - Department of Engineer Islamic Azad University Neyshabur , Iran
Ali Asghar Shojaee - Department of Engineer Islamic Azad University Neyshabur , Iran
Ali Asghar Shojaee - Department of Engineer Islamic Azad University Neyshabur , Iran
Babak ranjbar - Department of Engineer Islamic Azad University Neyshabur , Iran

This article presents a new approach for solvingthe optimal control problem (OCP) of linear time-delay systemswith a quadratic cost functional. In this approach is employed toconvert the original time-delay optimal control problem(TDOCP) into a sequence of linear two-point boundary valueproblems (TPBVPs). The variational iteration method (VIM) isadopted to easily solve TPBVPs by use of iteration formulasderived from the correction functionals corresponding toequations. Also it provides a sequence which converges to thesolution of the problem without discretization of the variables.Illustrative examples are included to demonstrate the validityand applicability of the technique.

Optimal control; Time delay system; Pontryagin s maximum principle; Variational iteration method)