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Invariant subspaces for LPV systems and their applications

by

G.J. Balas, J. Bokor and Z. Szabo

in

IEEE Transactions on Automatic Control, vol. 48, no. 11, pp. 2065-9, November, 2003.

Category: Journal Article

Keywords: Terms—Distributions, input affine systems, invariant subspaces,

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Abstract:

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.


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