On certain connections between the geometric and the polynomial matrix approaches to linear system theory

DOI10.1080/00207177908922721zbMath0409.93012OpenAlexW2016993595MaRDI QIDQ4198552

P. N. R. Stoyle, A. I. G. Vardulakis

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1080/00207177908922721

zbMATH Keywords

AlgorithmLinear SystemControllability SubspacesControllable PairGeometric TheoryPolynomial Matrix Approaches

Mathematics Subject Classification ID

Controllability (93B05) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Canonical structure (93B10) Algebraic methods (93B25)

Related Items (4)

The mechanism of decoupling ⋮ Right divisors of numerator polynomial matrices and (A, B)-invariant subspaces ⋮ On the synthesis of model-following two-dimensional digital systems ⋮ (A, B)-invariant subspaces and polynomial matrix algebra— towards a more integrated approach. Part I: Square systems

Cites Work

• Unnamed Item
• Unnamed Item
• Linear multivariable systems
• Linear multivariable control. A geometric approach
• Minimal Bases of Rational Vector Spaces, with Applications to Multivariable Linear Systems
• Canonical forms for the identification of multivariable linear systems
• On the Dimensions of Controllability Subspaces: A Characterization via Polynomial Matrices and Kronecker Invariants
• The Classification of Linear State Variable Control Laws
• A further result on the problem of pole assignment by output feedback
• On the structure of the bases of all possible controllability subspaces  of a controllable pair [ A, B in canonical form]
• Decoupling and Pole Assignment in Linear Multivariable Systems: A Geometric Approach
• On the Structure of Multivariable Systems

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