Analysis of the Optimal Position of the Control Vector’s Switching Points for the Minimal-Time Circuit Design Strategy Prediction

The generalized methodology for the electronic networks optimization system was elaborated by means of the optimal control theory approach. The problem of the electronic system design is formulated in this case as a classical problem of functional minimization of the optimal control theory. The minimal time system design algorithm was defined as a controllable dynamic process with an optimal control vector. By this methodology the aim of the system design process with minimal computer time is presented as a transition process of some dynamic system that has the minimal transition time. The optimal position of the control vector switch points was determined as a principal characteristic of the minimal-time system design algorithm. 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. Key-Words: Minimal-time system design, control theory application, Lyapunov function.