Feedback invariants of restrictions and quotients: Series connected systems

DOI10.1016/S0024-3795(01)00576-6zbMath1024.93021OpenAlexW1982470068MaRDI QIDQ1611896

Itziar Baragaña, Zaballa, I.

Publication date: 28 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(01)00576-6

zbMATH Keywords

controllability indicesrestrictioninvariant factorsfeedback invariantsquotient systemcontrolled invariant subspaceseries compositionnonsingular polynomial matrix

Mathematics Subject Classification ID

Feedback control (93B52) Algebraic methods (93B25)

Related Items (5)

On the existence of linear systems with prescribed invariants for system similarity ⋮ A new approach to square matrix completion problem ⋮ Controllability of series connections of arbitrarily many linear systems ⋮ Feedback invariants of series connected systems ⋮ Structured perturbation of the Brunovsky form: a particular case

Cites Work

• Interlacing inequalities and control theory
• Factorization indices at infinity for rational matrix functions
• Linear multivariable systems
• Feedback invariants of supplementary pairs of matrices
• Block similarity invariants of restrictions to \((A,B)\)-invariant subspaces
• Partially specified matrices and operators: classification, completion, applications
• Inequalities for the degrees of elementary divisors of modules
• A Geometric Approach to the Carlson Problem
• Matrices with prescribed invariant factors
• Controllability Subspaces and Feedback Simulation
• Controllability and Hermite indices of matrix pairs
• Inequalities: theory of majorization and its applications
• Feedback invariants of restrictions -- a polynomial approach
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