On the geometry of the set of controllability subspaces of a pair \((A,B)\)

DOI10.1016/S0024-3795(01)00531-6zbMath1012.93015MaRDI QIDQ1611924

Ferran Puerta, Xavier Puerta

Publication date: 28 August 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

controllability subspace\((A,B)\)-invariant

Mathematics Subject Classification ID

Related Items (3)

Versal deformations in orbit spaces. ⋮ On the geometry of the generalized partial realization problem ⋮ On the parametrization of the controllability subspaces of a controllable pair

Cites Work

• 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
• The topology of the set of conditioned invariant subspaces
• Block similarity invariants of restrictions to \((A,B)\)-invariant subspaces
• Stratification and bundle structure of the set of conditioned invariant subspaces in the general case
• A coordinate atlas of the manifold of observable conditioned invariant subspaces
• On the Dimensions of Controllability Subspaces: A Characterization via Polynomial Matrices and Kronecker Invariants
• Controllability Subspaces and Feedback Simulation
• On the parametrization of conditioned invariant subspaces and observer theory

This page was built for publication: On the geometry of the set of controllability subspaces of a pair \((A,B)\)