Exponential Stability of Linear Discrete Systems with Multiple Delays

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F18%3APU128561" target="_blank" >RIV/00216305:26620/18:PU128561 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1155/2018/9703919" target="_blank" >https://doi.org/10.1155/2018/9703919</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2018/9703919" target="_blank" >10.1155/2018/9703919</a>

Result language
angličtina
Original language name
Exponential Stability of Linear Discrete Systems with Multiple Delays
Original language description
The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with single delay $xleft( {k+1} right)=Axleft( k right)+sum_{i=1}^sB_ixleft( {k-m_i} right)$, $k=0,1,dots$ where $sin mathbb{N}$, $A$ and $B_i$ are square matrices and $m_iinmathbb{N}$. 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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA16-08549S" target="_blank" >GA16-08549S: Dynamical Systems Identification on Time Scales</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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