Abstract

Weakly delayed planar linear discrete systems with multiple delaysx(k+1)=Dx(k)+∑l=1nHlx(k−ml),k=0,1,… are considered where m1,m2,…,mn are fixed integers, D, H1, …, Hn are nonzero 2×2 real constant matrices and x:{−mn,−mn+1,…}→R2. Formulas for general solutions are found and simplified, equivalent non-delayed planar linear discrete systems are constructed and conditional stability is analyzed. Results are illustrated by examples.

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