Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2
Loading...
Files
Date
2017-06-12
Authors
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Altmetrics
Abstract
Two-dimensional linear discrete systems $$ x(k+1)=Ax(k)+\sum\limits_{l=1}^{n}B_{l}x_{l}(k-m_{l}),\,\,\,k\ge 0 $$are analyzed, where $m_{1}, m_{2},\dots, m_{n}$ are constant integer delays, $0<m_{1}<m_{2}<\dots<m_{n}$, $A$, $B_{1},\dots, B_{n}$ are constant $2\times 2$ matrices, $A=(a_{ij})$, $B_{l}=(b^l_{ij})$, $i,j=1,2$, $l=1,2,\dots,n$ and $x: \{-m_n,-m_n+1,\dots\}\to \mathbb{R}^2$. Under the assumption that the system is weakly delayed, the asymptotic behavior of its solutions is studied and asymptotic formulas are derived.
Description
Citation
Discrete Dynamics in Nature and Society. 2017, vol. 2017, issue 2017, p. 1-10.
http://dx.doi.org/10.1155/2017/6028078
http://dx.doi.org/10.1155/2017/6028078
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en