Abstract
Two-dimensional linear discrete systems x(k+1)=Ax(k)+∑l=1nBlxl(k-ml), k≥0, are analyzed, where m1,m2,…,mn are constant integer delays, 0<m1<m2<⋯<mn, A, B1,…,Bn are constant 2×2 matrices, A=(aij), Bl=(bijl), i,j=1,2, l=1,2,…,n, and x:{-mn,-mn+1,…}→R2. Under the assumption that the system is weakly delayed, the asymptotic behavior of its solutions is studied and asymptotic formulas are derived.
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