On control vector structure for the minimal-time system design algorithm

Abstract

Some important characteristic of the time-optimal system design algorithm were studied on basis of new design methodology. Three main Ideas acceleration effect, special selection of the design process start point and control vector switch points optimal position have been defined as the basic elements for the quasi-optimal algorithm construction. The design process optimal trajectory has been evaluated on the basis of the control functions optimal behavior. The approximation of the control vector optimal structure was found by means of the special Lyapunov function of the design process.