The Canonical Diophantine Equations with Applications

DOI10.1137/0322049zbMath0568.93013OpenAlexW2153773428MaRDI QIDQ3686556

William A. Wolovich, Panos J. Antsaklis

Publication date: 1984

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0322049

zbMATH Keywords

polynomial matricescanonical Diophantine equationsprime canonical factorizationssystem transfer matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Canonical structure (93B10) Algebraic methods (93B25) Realizations from input-output data (93B15) Linear Diophantine equations (11D04)

Related Items (11)

Generalized matrix Euclidean algorithms for solving diophantine equations and associated problems ⋮ Application of implicit system feedback to solving the diophantine equation ⋮ On the computation of proper, feedforward internally stabilizing and pole-placing compensators ⋮ Pole assignment at infinity and polynomial matrix equations ⋮ Feedback representation of precompensators: the general case ⋮ The matrix linear unilateral and bilateral equations with two variables over commutative rings ⋮ Normal forms for general polynomial matrices ⋮ A simple division method for solving Diophantine equations and associated problems ⋮ Fractional and Wiener-Hopf factorizations ⋮ Integer Solutions of Matrix Linear Unilateral and Bilateral Equations over Quadratic Rings ⋮ Parametrization issues in multivariable adaptive control

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