Abstract: The reachability problem of switched linear singular (SLS) systems is investigated under the regularity assumption of all subsystems. To ensure the continuity of the states of the SLS systems,for a given switching sequence an admissible control set is introduced. Based on the structure characteristics of the solution of the SLS system state equation, a series of subsystems are defined. By using the circular invariant characteristic of the defined subspaces,a necessary condition on complete reachability is given, which includes the existing conditions given for conventional (non-singular) switched systems and normal (non-switching) singular systems as its special cases.

Key words: switched systems, singular systems, linear systems, reachability, admissibility