Minimal-Time System Design Algorithm Prediction by means of Lyapunov Function Analysis

– The minimal time system design algorithm was defined as the problem of functional minimization of the control theory. By this methodology the aim of the system design process with minimal computer time is presented as a transition process of dynamic system with minimal transition time. 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 a 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 to construct a minimal-time system design algorithm.