Abstract:The stability analysis for a class of typical second-order oscillatory systems is presented. The effect of signal transmission delay to the performance of closed loop control systems with unit negative feedback and unit positive feedback are analyzed respectively. The relationship between the time-delay and the stability of closed loop control system is obtained via drawing and analyzing Nyquist plots in the different value regions of relative damping coefficient. The simulation examples of unit step response for every situation are processed and the simulation results show that the analysis is correct.