Abstarct: In this thesis, we apply the matrix Lambert W function approach for the control and stabilization linear systems of DDEs. Thus, we present a new approach for controller design via eigenvalue assignment, and illustrate the method with several examples. Using the proposed method, we can move a subset of the eigenvalues to desired locations. For a given system, which can be represented by DDEs, the solution to the system is obtained baxsed on the Lambert W function, and stability is determined. If the system is unstable, after controllability of the system is checked, a stabilizing feedback is designed by assigning eigenvalues, and finally the closed-loop system of DDEs can be stabilized.