Lyapunov function analysis for different strategies of circuit optimization

Abstract

The problem of optimization of analog circuit for a minimal computer time has been formulated as the functional minimization problem of the control theory. The process of circuit optimization is formulated as the controllable dynamic system. The conception of the Lyapunov function was proposed to analyze the behavior of the process of circuit optimization. The special function that is a combination of the Lyapunov function and its time derivative was proposed to predict the design time of any strategy. This approach gives us the possibility to select the best strategy from the complete structural basis analyzing the initial part of the total optimization process only.