Evaluation of control times for continuous dynamical polysystems with control switchings at discrete times

Abstract

Control systems with a finite number of control parameters (dynamical polysystems) are considered. It is assumed that a polysystem functions in continuous time, and switchings of control occur in some discrete instants of time. The control goal is a transition of a polysystem from some initial state to arbitrary final state. Controllability of the polysystems is studied. Statistic methods are applied. Some probability characteristics of dynamical polysystems are defined. It is shown that under the rank condition, the switching controls always exist. The values of control times can be found by some numerical methods.