Generalized controlled and conditioned invariances for linear ω-periodic discrete-time systems Original Research Article

In this paper the three notions of generalized controlled (Aα(·),Bβ(·))-invariance, generalized conditioned (Cγ(·),Aα(·))-invariance and generalized (Aα(·),Bβ(·),Cγ(·))-invariance for uncertain linear ω-periodic discrete-time systems are studied, and then the parameter insensitive disturbance-rejection problems with static output feedback and/or with state feedback are formulated and their solvability conditions are presented.