It is shown that the multivariable Nyquist array method by Rosenbrock, which was applicable to the finite dimensional system only, may apply for the time-delay system, if the numerators and denominators of the diagonal elements and determinant of the input-output transfer function matrix are the exponential sums with the principal terms. By employing this technique, some local stabilization methods are proposed for the continuous-time large scale systems with delays in which interactions with possible time-delay occurs only through the input of each subsystem. And it is also shown that the time-delays do not cause difficulties in testing the stability of the continuous-time large scale systems with delays. Then a more general class of continuous-time large scale systems with delays in both states and interconnections is shown to be stabilized by local statefeedback controllers. Further, two local stabilization methods for a class of discrete-time large scale system with delays in interconnections are proposed. Finally the large scale systems closed by the proposed local controllers are shown to be connectively stable.