Balas, Gary J.Bokor, JozsefSzabo, Zoltan2008-06-182008-06-182003-11Balas, G., Bokor, J., and Szabo, Z. (2003). "Invariant Subspaces for LPV Systems and their Applications." IEEE Transactions on Automatic Control. 48(11), 2065-2069.https://hdl.handle.net/11299/37266©2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.The 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.en-USdistributionsinput affine systemsinvariant subspaceslinear parameter-varying (LPV) systemsArticle