Comparison of Lyapunov function behavior for different strategies of optimization

The problem of designing of analog network 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 conception of the Lyapunov function was proposed to analyze the behavior of the process of designing. 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 by means of the analysis of initial time interval of the process of network optimization. This approach gives us the possibility to select the quasi optimal strategy of network optimization by analyzing the initial part of the total design process only.