Structural stability of (C,A)-marked and observable subspaces
Given an observable pair of matrices (C;A) we consider the manifold of (C;A)-invariant and observable subspaces having a fixed Brunovsky- Kronecker structure. Using Arnold’s techniques we obtain the explicit form of a miniversal deformation of a marked and observable (C;A)- invariant subspace with r...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/143 |
| Acceso en línea: | https://hdl.handle.net/2117/143 |
| Access Level: | acceso abierto |
| Palabra clave: | Àlgebra lineal i multilineal Matrius (Matemàtica) Invariants |
| Sumario: | Given an observable pair of matrices (C;A) we consider the manifold of (C;A)-invariant and observable subspaces having a fixed Brunovsky- Kronecker structure. Using Arnold’s techniques we obtain the explicit form of a miniversal deformation of a marked and observable (C;A)- invariant subspace with regard to the usual equivalence relation. As an application, we obtain the dimension of the orbit and we characterize the structurally stable subspaces. |
|---|