CONTROLLABILITY OF LINEAR HYBRID SYSTEMS WITH A FINITE NUMBER OF TIME INTERVALS

The present paper is devoted to analyzing controllability properties for hybrid system with a finite number of time intervals with linear transformations of the transition from one space to another, developing a method of solving the control problem with the help of linear hybrid systems. A mathematical model of a hybrid system arises in the control processes investigation, taking into account the interaction of an object of control with the environment in accordance with certain physical laws manifesting themselves at different times. The analysis and solution of various hybrid systems control problems have an important theoretical and practical significance, broaden the scope of the relevant mathematical application.