Exponential stability of linear discrete systems with variable delays via Lyapunov Second method

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F17%3APU125527" target="_blank" >RIV/00216305:26620/17:PU125527 - isvavai.cz</a>
Result on the web
<a href="https://www.hindawi.com/journals/ddns/2017/7417909/" target="_blank" >https://www.hindawi.com/journals/ddns/2017/7417909/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1155/2017/7417909" target="_blank" >10.1155/2017/7417909</a>

Result language
angličtina
Original language name
Exponential stability of linear discrete systems with variable delays via Lyapunov Second method
Original language description
The paper investigates the exponential stability of a linear system of difference equations with variable delays. New criteria for exponential stability are derived using the method of Lyapunov functions and formulated in terms of the norms of matrices of linear terms and matrices solving an auxiliary Lyapunov equation. An exponential-type estimate of the norm of solutions is given as well. The efficiency of the derived criteria is numerically demonstrated by examples and their 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
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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