Standard

Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay. / Александров, Александр Юрьевич.

In: Cybernetics and Physics, Vol. 13, No. 1, 29.06.2024, p. 5-11.

Research output: Contribution to journal › Article › peer-review

Harvard

Александров, АЮ 2024, 'Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay', Cybernetics and Physics, vol. 13, no. 1, pp. 5-11. https://doi.org/10.35470/2226-4116-2024-13-1-5-11

APA

Александров, А. Ю. (2024). Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay. Cybernetics and Physics, 13(1), 5-11. https://doi.org/10.35470/2226-4116-2024-13-1-5-11

Vancouver

Александров АЮ. Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay. Cybernetics and Physics. 2024 Jun 29;13(1):5-11. https://doi.org/10.35470/2226-4116-2024-13-1-5-11

Author

Александров, Александр Юрьевич. / Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay. In: Cybernetics and Physics. 2024 ; Vol. 13, No. 1. pp. 5-11.

BibTeX

@article{2a16caeafb234c75a238ca62d554c86e,
title = "Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay",
abstract = "The problem of absolute stability is investigated for a switched positive Persidskii system with infinite delay. With the aid of a special construction of Lyapunov–Krasovskii functional, sufficient conditions of absolute stability are derived. These conditions are formulated in terms of the existence of a positive solution for an auxiliary system of linear algebraic inequalities. It is shown that a similar construction of Lyapunov–Krasovskii functional can be used for the permanence analysis for a Lotka–Volterra model of popolation dynamics.",
author = "Александров, {Александр Юрьевич}",
year = "2024",
month = jun,
day = "29",
doi = "10.35470/2226-4116-2024-13-1-5-11",
language = "English",
volume = "13",
pages = "5--11",
journal = "Cybernetics and Physics",
issn = "2223-7038",
publisher = "IPACS",
number = "1",

}

RIS

TY - JOUR

T1 - Constructing Lyapunov–Krasovskii functionals for some classes of switched positive systems with infinite delay

AU - Александров, Александр Юрьевич

PY - 2024/6/29

Y1 - 2024/6/29

N2 - The problem of absolute stability is investigated for a switched positive Persidskii system with infinite delay. With the aid of a special construction of Lyapunov–Krasovskii functional, sufficient conditions of absolute stability are derived. These conditions are formulated in terms of the existence of a positive solution for an auxiliary system of linear algebraic inequalities. It is shown that a similar construction of Lyapunov–Krasovskii functional can be used for the permanence analysis for a Lotka–Volterra model of popolation dynamics.

AB - The problem of absolute stability is investigated for a switched positive Persidskii system with infinite delay. With the aid of a special construction of Lyapunov–Krasovskii functional, sufficient conditions of absolute stability are derived. These conditions are formulated in terms of the existence of a positive solution for an auxiliary system of linear algebraic inequalities. It is shown that a similar construction of Lyapunov–Krasovskii functional can be used for the permanence analysis for a Lotka–Volterra model of popolation dynamics.

UR - https://www.mendeley.com/catalogue/3ae9959f-a2fc-3543-b585-ad9e90f669ca/

U2 - 10.35470/2226-4116-2024-13-1-5-11

DO - 10.35470/2226-4116-2024-13-1-5-11

M3 - Article

VL - 13

SP - 5

EP - 11

JO - Cybernetics and Physics

JF - Cybernetics and Physics

SN - 2223-7038

IS - 1

ER -

ID: 121343473