Switched controllability via bumpless transfer input and dwell-time switching

In this paper, we study the controllability of linear hybrid systems via bumpless transfer input and fixed-order dwell-time switching. By bumpless transfer input, we mean that the control input signals are as close as possible at switching times. By fixed-order dwell-time switching, we mean that the switching index sequence is fixed and the switching time sequence is possibly with positive dwell times. While the problem is well motivated in several practical situations, it is also theoretically interesting. A complete criterion for controllability is presented, and a computational procedure is developed to find a switching signal and control input to achieve the controllability.