On the problem of control of continuous-discrete systems with changes in dimensions of phase space and of control vector

Problems of controllability of continuous-discrete linear systems with changes in dimensions of phase space and of control vector are considered. Motion of continuous-discrete system is built. A constructive approach of solution to control problems of such systems is proposed. Necessary and sufficient condition for complete controllability of continuous-discrete linear stationary systems with changes in dimensions of phase vector and of control vector, expressed directly by system initial parameters is obtained. Qualitative properties of controllability of such systems are revealed. An example of a continuous-discrete linear stationary system is constructed, which in certain intervals of time of functioning is not completely controllable, but as a whole in the entire interval of time is completely controllable.