On the parametrization of the controllability subspaces of a controllable pair

DOI10.1016/j.laa.2004.11.030zbMath1125.93317OpenAlexW2145676956MaRDI QIDQ1779409

Ferran Puerta, Zaballa, I., Xavier Puerta

Publication date: 1 June 2005

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

Full work available at URL: http://hdl.handle.net/2117/867

Mathematics Subject Classification ID

Controllability (93B05) Vector and tensor algebra, theory of invariants (15A72) Algebraic methods (93B25)

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Cites Work

• Geometric state-space theory in linear multivariable control: A status report
• Differentiable structure of the set of controllable \((A,B)^t\)-invariant subspaces
• The topology 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
• Block similarity invariants of restrictions to \((A,B)\)-invariant subspaces
• 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
• Feedback invariants of pairs of matrices and restrictions