In this paper, disturbance decoupling problem via static-output feedback under arbitrary switching for the polytopic uncertain switched linear systems is studied in the framework of geometric theory. First, robust controlled invariant subspaces and robust conditioned invariant subspaces for a family of linear systems will be investigated and then solvability conditions for the problem will be given under certain assumptions.

invariant subspaces disturbance decoupling static-output feedback uncertain systems switched linear systems.