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Global block-similarity and pole assignment of class C\(^{p}\). (English) Zbl 0988.93033

The authors construct a Brunovsky basis of class \(C^p\) for a family of pairs of matrices having constant Brunovsky type, under the assumption that the manifold of parameters is contractible. The construction is based on the existence of a \(C^p\) basis for any \(C^p\) family of subspaces having constant dimension.
A global pole assignment theorem for such kinds of pairs is derived as well.

MSC:

93B55 Pole and zero placement problems
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