Stratification and bundle structure of the set of conditioned invariant subspaces in the general case

DOI10.1016/S0167-6911(02)00202-5zbMath1097.93008OpenAlexW1964009291MaRDI QIDQ2503448

Xavier Puerta, Josep Ferrer, Ferran Puerta

Publication date: 21 September 2006

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-6911(02)00202-5

zbMATH Keywords

Grassmann manifoldFiber bundleBrunovsky basisConditioned invariant subspaceOrbit space

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Canonical structure (93B10)

Related Items (6)

On the parametrization of conditioned invariant subspaces and observer theory ⋮ The topology of the set of conditioned invariant subspaces ⋮ Perturbations preserving conditioned invariant subspaces ⋮ Miniversal deformations of observable marked matrices ⋮ On the geometry of the set of controllability subspaces of a pair \((A,B)\) ⋮ A cellular decomposition of the manifold of observable conditioned invariant subspaces

Cites Work

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• On \((A,B)^t\)-invariant subspaces having extendible Brunovsky bases
• Parametrization of (C,A)-invariant subspaces
• Differentiable structure of the set of controllable \((A,B)^t\)-invariant subspaces
• A homeomorphism between observable pairs and conditioned invariant subspaces
• Block similarity invariants of restrictions to \((A,B)\)-invariant subspaces
• On the Variety of Invariant Subspaces of a Finite-Dimensional Linear Operator

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