Structural stability of (C,A)-marked subspaces
| Autor: | Marta Peña, Albert Compta |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Pure mathematics
Numerical Analysis Algebra and Number Theory (C A)-marked subspace Miniversal deformation Mathematical analysis Invariant subspace Linear subspace Manifold (C A)-invariant subspace Differential geometry Equivalence relation Discrete Mathematics and Combinatorics Observable map Geometry and Topology Orbit (control theory) Subspace topology Mathematics Vector space |
| Zdroj: | Linear Algebra and its Applications. 421(1):45-52 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2006.07.028 |
| Popis: | 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). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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