Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA23-06476S" target="_blank" >GA23-06476S: Analýza diskrétních a spojitých dynamických systémů se zřetelem na problematiku identifikace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

APPLIED MATHEMATICS LETTERS

ISSN

1873-5452

e-ISSN

—

Svazek periodika

142

Číslo periodika v rámci svazku

108654

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

1-6

Kód UT WoS článku

000958646600001

EID výsledku v databázi Scopus

2-s2.0-85150853619