The design process for analog network design is formulated as a dynamic controllable system. A special control vector is defined to redistribute the compute expensive between a network analysis and a parametric optimization. The problem of the minimal-time network design can be formulated as a classical problem of the optimal control for some functional minimization. A conception of a Lyapunov function of dynamic controllable system is used to analyze the principal characteristics of the design process. The analysis of some derivative functions of the Lyapunov function gives us a possibility to compare the design time of different design strategies and predict the design strategy with a minimal design time.