Control vector structure for a minimal-time circuit optimization process

Abstract

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. The problem of a minimal-time circuit optimization was formulated as a classical problem of the optimal control for minimization of one functional. The conception of the Lyapunov function of dynamic system is used to analyze the principal characteristics of the design process. The analysis of the Lyapunov function and its time derivative gives us a possibility to predict the optimal control vector structure for constructing a minimal-time circuit design algorithm.