Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F23%3APU148309" target="_blank" >RIV/00216305:26620/23:PU148309 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0893965923000861?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965923000861?via%3Dihub</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2023.108654" target="_blank" >10.1016/j.aml.2023.108654</a>
Alternative languages
Result language
angličtina
Original language name
Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals
Original language description
The problem of exponential stability of delayed discrete systems with multiple delays s n-ary sumation x(n + 1) = (I + A)x(n) + i=1 Bix(n - i), n = 0, 1, .. . is studied, where x = (x1 x2 ... xm)T is an unknown vector, m and s are fixed positive integers, A, Bi are square constant matrices and I is a unit matrix. A new degenerated Lyapunov-Krasovskii functional is used to derive sufficient conditions for exponential stability and to derive an exponential estimate of the norm of solutions. Though often used in the study of stability, the assumption that the spectral radius of the matrix of linear terms is less than 1 is not applied here. The criterion derived is illustrated by an example and compared with previously known results.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA23-06476S" target="_blank" >GA23-06476S: Analysis of Discrete and Continuous Dynamical Systems with Emphasis on Identification Problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
APPLIED MATHEMATICS LETTERS
ISSN
1873-5452
e-ISSN
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Volume of the periodical
142
Issue of the periodical within the volume
108654
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
1-6
UT code for WoS article
000958646600001
EID of the result in the Scopus database
2-s2.0-85150853619