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Item Invariant Subspaces for LPV Systems and their Applications(Institute of Electrical and Electronic Engineers, 2003-11) Balas, Gary J.; Bokor, Jozsef; Szabo, ZoltanThe aim of this note is to extend the notion of invariant subspaces known in the geometric control theory of the linear time invariant systems to the linear parameter-varying (LPV) systems by introducing the concept of parameter-varying invariant subspaces. For LPV systems affine in their parameters, algorithms are given to compute many parameter varying subspaces relevant in the solution of state feedback and observer design problems.