Characteristics of the Lyapunov function for some design strategies

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. This redistribution permits the minimization of a computer time. The problem of the minimal-time network design can be formulated in this case as a classical problem of the optimal control for some functional minimization. The conception of the Lyapunov function of dynamic controllable system is used to analyze the principal characteristics of the design process. The analysis of a special function that is a combination of the Lyapunov function and its time derivative gives a possibility to compare the different design strategies.