The behavior of different design trajectories in the design phase space was analyzed on the basis of a generalized theory of system design. The problem of initial point selection for time-optimal algorithm construction was connected with the discovery of an additional acceleration effect in the design process. This effect can be understood on the basis of the elaborated design methodology by means of the different design trajectory analysis. It is displayed for all analyzed circuits and can reduce the total computer time for system design. Numerical results of some nonlinear electronic circuit designs demonstrate the proposed approach.