Right divisors of numerator polynomial matrices and (A, B)-invariant subspaces

DOI10.1080/00207178008922895zbMath0454.93017OpenAlexW2000786150MaRDI QIDQ3902888

A. I. G. Vardulakis

Publication date: 1980

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178008922895

zbMATH Keywords

(A,B)-invariant subspacestrictly proper transfer function

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Transformations (93B17) Algebraic methods (93B25) Model systems in control theory (93C99)

Related Items (2)

Parametrization of minimum-time output deadbeat controllers for all classes of invertible systems ⋮ On the state feedback diagonal decoupling of linear systems described by (A, B, C, E) quadruples

Cites Work

• Linear multivariable control. A geometric approach
• The determination of state-space representations for linear multivariable systems
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• A study of (A, B) invariant subspaces via polynomial models
• On the stability of solutions to minimal and nonminimal design problems
• Poles and zeros of linear multivariable systems : a survey of the algebraic, geometric and complex-variable theory
• On the structure of the bases of all possible controllability subspaces  of a controllable pair [ A, B in canonical form]
• On certain connections between the geometric and the polynomial matrix approaches to linear system theory

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