This paper investigates the state feedback stabilization of linear time-invariant(LTI) systems with input time
delay. The existence of time delay transforms the closed-loop characteristic equation into a transcendental equation. By
investigating the eigenvalues of the time-delay system, two vectors related to the system parameters and the feedback gain
respectively can be obtained from the real part and the imaginary part of the transcendental equation. The amplitude and
phase relations of these two vectors indicate the crossing situation of the root locus on the imaginary axis. Furthermore, the
time delay is dependent on the system parameters and the feedback gain explicitly in this criterion, so that the state feedback
stability controller can be designed more expediently. Finally, numerical examples illustrate the correctness and effectiveness
of the proposed algorithm.