Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability

DOI10.1016/j.amc.2023.128270OpenAlexW4385618962MaRDI QIDQ6095036

Hana Halfarová, J. Šafařík, Josef Diblík

Publication date: 11 October 2023

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

Full work available at URL: https://doi.org/10.1016/j.amc.2023.128270

zbMATH Keywords

conditional stabilitygeneral solutiondiscrete systemmultiple delayweakly delayed systemequivalent non-delayed systempasting of solutions

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Cites Work

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• Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay
• Explicit general solution of planar linear discrete systems with constant coefficients and weak delays
• General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
• Representation of solutions of delayed difference equations with linear parts given by pairwise permutable matrices via \(\mathcal{Z}\)-transform
• Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis

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