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Publication detail
DIBLÍK, J.
Original Title
Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
Exponential stability; Lyapunov-Krasovskii functional; Degenerated functional; Multiple delays; Exponential estimate; Norm
Authors
Released
1. 8. 2023
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Location
OXFORD
ISBN
1873-5452
Periodical
APPLIED MATHEMATICS LETTERS
Year of study
142
Number
108654
State
United States of America
Pages from
1
Pages to
6
Pages count
URL
https://www.sciencedirect.com/science/article/pii/S0893965923000861?via%3Dihub
BibTex
@article{BUT183778, author="Josef {Diblík}", title="Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals", journal="APPLIED MATHEMATICS LETTERS", year="2023", volume="142", number="108654", pages="6", doi="10.1016/j.aml.2023.108654", issn="1873-5452", url="https://www.sciencedirect.com/science/article/pii/S0893965923000861?via%3Dihub" }