Global Block-Similarity and Pole Assignment of Class C p

Josep Ferrer, Ferran Puerta · SIAM Journal on Matrix Analysis and Applications · 1998

Starting from the existence of a C p -basis for any C p -family of subspaces having constant dimension, we construct a Brunovsky basis of class C p for a C p -family of pairs of matrices having constant Brunovsky type. We derive a global pole assignment theorem for such kinds of pairs. In all the cases we assume that the manifold of parameters is contractible.

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