Stability Analysis of Switched Positive Persidskii Systems with Distributed and Unbounded Delays

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Stability Analysis of Switched Positive Persidskii Systems with Distributed and Unbounded Delays. / Александров, Александр Юрьевич ; Андриянова, Наталья Романовна.

в: Advances in Systems Science and Applications, Том 24, № 2, 15.07.2024, стр. 40-53.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{fccae36028674d81aa052f35fd86be8b,

title = "Stability Analysis of Switched Positive Persidskii Systems with Distributed and Unbounded Delays",

abstract = "Switched positive Persidskii systems with distributed and unbounded delays are studied. Right-hand sides of these systems are linear combinations of nonlinearities of a sector type. Special constructions of diagonal Lyapunov–Krasovskii functionals are proposed and conditions are derived under which the absolute stability of the considered systems can be proved with the aid of such functionals. The developed approaches are applied to the stability analysis of a mechanical system with switched nonlinear positional forces and to a problem of mobile agent deployment. Results of numerical simulations are presented confirming the theoretical conclusions.",

keywords = "Lyapunov–Krasovskii functional, distributed and unbounded delays, formation control, mechanical system, sector nonlinearity, switched positive system",

author = "Александров, {Александр Юрьевич} and Андриянова, {Наталья Романовна}",

year = "2024",

month = jul,

day = "15",

doi = "10.25728/assa.2024.2024.02.1618",

language = "English",

volume = "24",

pages = "40--53",

journal = "Advances in Systems Science and Applications",

issn = "1078-6236",

publisher = "International Institute for General Systems Studies",

number = "2",

}

RIS

TY - JOUR

T1 - Stability Analysis of Switched Positive Persidskii Systems with Distributed and Unbounded Delays

AU - Александров, Александр Юрьевич

AU - Андриянова, Наталья Романовна

PY - 2024/7/15

Y1 - 2024/7/15

N2 - Switched positive Persidskii systems with distributed and unbounded delays are studied. Right-hand sides of these systems are linear combinations of nonlinearities of a sector type. Special constructions of diagonal Lyapunov–Krasovskii functionals are proposed and conditions are derived under which the absolute stability of the considered systems can be proved with the aid of such functionals. The developed approaches are applied to the stability analysis of a mechanical system with switched nonlinear positional forces and to a problem of mobile agent deployment. Results of numerical simulations are presented confirming the theoretical conclusions.

AB - Switched positive Persidskii systems with distributed and unbounded delays are studied. Right-hand sides of these systems are linear combinations of nonlinearities of a sector type. Special constructions of diagonal Lyapunov–Krasovskii functionals are proposed and conditions are derived under which the absolute stability of the considered systems can be proved with the aid of such functionals. The developed approaches are applied to the stability analysis of a mechanical system with switched nonlinear positional forces and to a problem of mobile agent deployment. Results of numerical simulations are presented confirming the theoretical conclusions.

KW - Lyapunov–Krasovskii functional

KW - distributed and unbounded delays

KW - formation control

KW - mechanical system

KW - sector nonlinearity

KW - switched positive system

UR - https://ijassa.ipu.ru/index.php/ijassa/article/view/1618

UR - https://www.mendeley.com/catalogue/c3ddc82f-6f7e-3842-8807-ae00466675ce/

U2 - 10.25728/assa.2024.2024.02.1618

DO - 10.25728/assa.2024.2024.02.1618

M3 - Article

VL - 24

SP - 40

EP - 53

JO - Advances in Systems Science and Applications

JF - Advances in Systems Science and Applications

SN - 1078-6236

IS - 2

ER -

ID: 121825137