Two-sided equations and skew primeness for n-D polynomial matrices

DOI10.1016/0167-6911(89)90042-XzbMath0678.93002OpenAlexW2062364974MaRDI QIDQ1124555

Michael Šebek

Publication date: 1989

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(89)90042-x

zbMATH Keywords

solvability conditionssolution algorithms

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Matrix equations and identities (15A24) Algebraic methods (93B25)

Related Items (3)

Solving multivariate polynomial matrix Diophantine equations with Gröbner basis method ⋮ Bilateral polynomial matrix equations in two indeterminates ⋮ Two-dimensional behavior decompositions with finite-dimensional intersection: a complete characterization

Cites Work

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• Skew-prime polynomial matrices: The polynomial-model approach
• Roth's theorems over commutative rings
• On deadbeat controllers
• Deadbeat servoproblem for multivariable n-D systems
• n-D polynomial matrix equations
• The Equation $XR + QY = \Phi $: A Characterization of Solutions
• Skew prime polynomial matrices
• The Equations AX - YB = C and AX - XB = C in Matrices

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