Perturbations preserving conditioned invariant subspaces

Marta Peña Carrera, Albert Compta, Josep Ferrer · International Conference on Circuits · 2010

Given the set of matrix pairs M ⊂ Mm,n(C) × Mn(C) keeping a subspace S ⊂ Cn invariant, we obtain a miniversal deformation of a pair belonging to an open dense subset of M. It generalizes the known results when S is a supplementary subspace of the unobservable one.

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