Exponential Stability of Linear Discrete Systems with Multiple Delays
Loading...
Files
Date
2018-08-01
Authors
Baštinec, Jaromír
Demchenko, Hanna
Diblík, Josef
Khusainov, Denys
0000-0002-6228-3857Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
Altmetrics
Abstract
The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay $x\left( {k+1} \right)=Ax\left( k \right)+\sum_{i=1}^sB_ix\left( {k-m_i} \right)$, $k=0,1,\dots$ where $s\in \mathbb{N}$, $A$ and $B_i$ are square matrices and $m_i\in\mathbb{N}$. New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed.
Description
Citation
Discrete Dynamics in Nature and Society. 2018, vol. 2018, issue 2018, p. 1-7.
http://dx.doi.org/10.1155/2018/9703919
http://dx.doi.org/10.1155/2018/9703919
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en