The topology of the set of conditioned invariant subspaces

DOI10.1016/S0167-6911(00)00006-2zbMath0977.93023OpenAlexW2075765932WikidataQ126400016 ScholiaQ126400016MaRDI QIDQ1575225

Uwe R. Helmke, Xavier Puerta

Publication date: 21 August 2000

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

Full work available at URL: https://doi.org/10.1016/s0167-6911(00)00006-2

zbMATH Keywords

flag manifoldsBetti numbersconditioned invariant subspacesgeometric controlparametrization problemsobservability indicesBrunovsky stratum

Mathematics Subject Classification ID

Observability (93B07)

Related Items (6)

Polynomials in control theory parametrized by their roots ⋮ On the parametrization of the controllability subspaces of a controllable pair ⋮ Versal deformations in generalized flag manifolds ⋮ Towards a compactification of the set of conditioned invariant subspaces ⋮ 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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• The biflag manifold and the fixed points of a unipotent transformation on the flag manifold
• Parametrization of (C,A)-invariant subspaces
• Similarity of non-everywhere defined linear maps
• Differentiable structure of the set of controllable \((A,B)^t\)-invariant subspaces
• A homeomorphism between observable pairs and conditioned invariant subspaces
• Stratification and bundle structure of the set of conditioned invariant subspaces in the general case
• On the Variety of Invariant Subspaces of a Finite-Dimensional Linear Operator
• On the parametrization of conditioned invariant subspaces and observer theory

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