On optimal structure of control vector for analog circuit optimization

The circuit optimization process is formulated as a dynamic controllable system. A special control vector is defined to redistribute the compute expense between a network analysis and a parametric optimization. This redistribution permits the minimization a computer time. The problem of a minimal-time circuit optimization 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 process of designing. The analysis of the Lyapunov function and its time derivative gives us a possibility to predict the optimal structure of the control vector and to construct the quasi optimal algorithm of circuit designing.