Controllability of Triangular Systems with Phase Space Change

In the present paper the controllability of a composite system of the following structure is investigated: two phase spaces and two consecutive time intervals are given, in each space on the corresponding time interval the motion of the object is described by a nonlinear system. The phase spaces are changed with the help of some given mapping, and the docking of trajectories is also connected with it. The conditions of controllability of this system from the initial set of one space to the finite set of another space are obtained in the paper. An approach to finding trajectories for this motion is proposed. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.