The analysis of the operation of non-linear circuits such as voltage level shifters and latched comparators and therefore prediction of their propagation delay and power consumption are challenging. This is because the operating points of the employed non-linear devices are time-varying. Hence, in this brief, a new approach which uses the trajectory of the operating points of the employed devices is proposed to analyze non-linear circuits. The proposed method is used to provide a comprehensive study about the operation of the cross-coupled voltage level shifters. The proposed analysis not only formulates the existing contention between the pull-up and pull-down devices, but also presents closed-form formulas for the delay as well as the power consumption. Measurement results of a prototype implemented in a standard 0.18-μ m CMOS technology verify the effectiveness of the proposed method.