Analysis of the Lyapunov Function of Design Process for Different Design Strategies

Abstract

The problem of analog system design for a minimal computer time has been formulated as the functional minimization problem of the control theory. The design process in this case is formulated as the controllable dynamic system. The optimal sequence of the control vector switch points was determined as a principal characteristic of the minimal-time system design algorithm. The different forms of the Lyapunov function were proposed to analyze the behavior of design process. The special function that is a combination of Lyapunov function and its time derivative was proposed to predict the optimal control vector structure.