Reachability conditions for switched linear singular systems

The reachability problem of switched linear singular systems is investigated in this note. By using the geometric approach and the admissible control set introduced, a necessary condition and a sufficient condition on complete reachability are presented. The conditions are the same as those of the conventional (nonsingular) switched linear systems and normal (nonswitching) singular systems given in previous papers when the systems degenerate to normal singular systems and conventional switched systems, respectively.