Representation of solutions of delayed difference equations with linear parts given by pairwise permutable matrices via \(\mathcal{Z}\)-transform

DOI10.1016/J.AMC.2016.09.019zbMath1411.39002OpenAlexW2527573171MaRDI QIDQ1734313

Michal Pospíšil

Publication date: 27 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.09.019

zbMATH Keywords

discrete systemmatrix polynomialmultiple delays\(\mathcal{Z}\)-transform

Mathematics Subject Classification ID

Stability theory for difference equations (39A30) Linear difference equations (39A06)

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• Representation of the solutions of linear discrete systems with constant coefficients and two delays
• Representation of solutions of linear discrete systems with constant coefficients and pure delay
• Matrices
• Controllability of Linear Discrete Systems with Constant Coefficients and Pure Delay
• Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices

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