Minimal Degree Coprime Factorization of Rational Matrices

DOI10.1137/S0895479898339979zbMath0971.65057OpenAlexW1963707095MaRDI QIDQ4702263

Cristian Oarǎ, Andras Varga

Publication date: 24 November 1999

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479898339979

zbMATH Keywords

algorithmsrational matricescoprime factorizationsminimal McMillan degreedescriptor realizationsJ all-passpole displacement

Mathematics Subject Classification ID

Related Items (15)

Squaring down with zeros cancellation in generalized systems ⋮ $\mathcal{H}_\infty$ Control Problem for Discrete-Time Algebraic Dynamical Systems ⋮ Robust stabilization of differential‐algebraic systems ⋮ A fractional representation approach to the robust regulation problem for multi‐input multi‐output systems ⋮ Spectral Factorization of Rank-Deficient Rational Densities ⋮ Parametrization of \(\Omega \)-stabilizing controllers and closed-loop transfer matrices of a singular system ⋮ Identification of low rank vector processes ⋮ All doubly coprime factorizations of a general rational matrix ⋮ Asymptotically fast polynomial matrix algorithms for multivariable systems ⋮ On recursive computation of coprime factorizations of rational matrices ⋮ A note on state-space properties of discrete-time \((J,J')\)-contractive systems ⋮ Minimal indices cancellation and rank revealing factorizations for rational matrix functions ⋮ Zero cancellation for general rational matrix functions ⋮ Constructive solutions to spectral and inner-outer factorizations with respect to the disk ⋮ \(J\) factorizations of a general discrete-time system

Uses Software

• LAPACK

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