New Results on Reachability Realization of Switched Impulsive Control Systems

This paper studies construction of switching sequences for reachability realization of switched impulsive control systems. An approach is proposed to design switching sequences so that the reachable subspace of switched impulsive control systems is expressed in terms of the reachable state sets of the designed switching sequences. For a class of switched impulsive control systems, it is proved that a single switching sequence can be designed with its reachable state set coinciding with the reachable subspace. The results present a new point of view for switching mechanism involved in the reachability and controllability of switched impulsive control systems.