Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R2
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 syst...
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Main Authors: | Josef Diblík, Hana Halfarová, Jan Šafařík |
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Format: | Article |
Language: | English |
Published: |
Wiley
2017-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2017/6028078 |
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