A polynomial matrix theory for a certain class of two-dimensional linear systems

DOI10.1016/0024-3795(95)00430-0zbMath0857.93052OpenAlexW2034731820MaRDI QIDQ1923172

A. C. Pugh, G. E. Hayton, D. S. Johnson, Eric Rogers, David H. Owens

Publication date: 12 March 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00430-0

zbMATH Keywords

linear systemspolynomial ringiterative learning controltwo-dimensional systemsrepetitive processespolynomial matrix description

Mathematics Subject Classification ID

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

Related Items (3)

On the reduction of repetitive processes into singular and non-singular Roesser models ⋮ Equivalent 2-D nonsingular Roesser models for discrete linear repetitive processes ⋮ A behavioral approach to the control of discrete linear repetitive processes

Cites Work

• Stability analysis for linear repetitive processes
• The design of practically stable \(nD\) feedback systems
• System matrix characterization of input-output equivalence
• One more counterexample in n-D systems-unimodular versus elementary operations
• A discrete state-space model for linear image processing
• Some stability properties of two-dimensional linear shift-invariant digital filters
• Notes on n-Dimensional System Theory
• Stability of discrete non-unit memory linear repetitive processes—a two-dimensional systems interpretation

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