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Structural stability of (C, A)-marked subspaces

✍ Scribed by Albert Compta; Marta Peña

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
133 KB
Volume
421
Category
Article
ISSN
0024-3795

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✦ Synopsis

Given an observable pair of matrices (C, A) we consider the manifold of (C, A)-invariant subspaces having a fixed Brunovsky-Kronecker structure. Using Arnold techniques we obtain the explicit form of a miniversal deformation of a marked (C, A)-invariant subspace with respect to the usual equivalence relation. As an application, we obtain the dimension of the orbit and we characterize the structurally stable subspaces (those with open orbit).

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