Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2

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Result on the web
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Result language
angličtina
Original language name
Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R^2
Original language description
Two-dimensional linear discrete systems $x(k+1)=Ax(k)+sumlimits_{l=1}^{n}B^{l}x_{l}(k-m_{l}), kge 0$ 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 $2times 2$ matrices, $A=(a_{ij})$, $B^{l}=(b^l_{ij})$, $i,j=1,2$, $l=1,2,dots,n$ and $xcolon {-m_n,-m_n+1,dots}to R^2$. Under the assumption that the system is weakly delayed, the asymptotic behavior of its solutions is studied. Asymptotic formulas describing the solutions are derived as well as sufficient conditions for conditional stability and asymptotic conditional stability.
Czech name
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Czech description
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Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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