Standard

Fixed-time stability of switched systems with application to a problem of formation control. / Aleksandrov, A. Yu; Andriyanova, N. R.

в: Nonlinear Analysis: Hybrid Systems, Том 40, 101008, 05.2021.

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

Harvard

Aleksandrov, AY & Andriyanova, NR 2021, 'Fixed-time stability of switched systems with application to a problem of formation control', Nonlinear Analysis: Hybrid Systems, Том. 40, 101008. https://doi.org/10.1016/j.nahs.2020.101008

APA

Aleksandrov, A. Y., & Andriyanova, N. R. (2021). Fixed-time stability of switched systems with application to a problem of formation control. Nonlinear Analysis: Hybrid Systems, 40, [101008]. https://doi.org/10.1016/j.nahs.2020.101008

Vancouver

Aleksandrov AY, Andriyanova NR. Fixed-time stability of switched systems with application to a problem of formation control. Nonlinear Analysis: Hybrid Systems. 2021 Май;40. 101008. https://doi.org/10.1016/j.nahs.2020.101008

Author

Aleksandrov, A. Yu ; Andriyanova, N. R. / Fixed-time stability of switched systems with application to a problem of formation control. в: Nonlinear Analysis: Hybrid Systems. 2021 ; Том 40.

BibTeX

@article{a5f63fedd071432b9159371c7eb67983,
title = "Fixed-time stability of switched systems with application to a problem of formation control",
abstract = "The problem of fixed-time stability of switched systems is studied. With the aid of the multiple Lyapunov function method, constraints on switching signals are derived under which global fixed-time stability of zero solutions of considered systems can be guaranteed. Sufficient conditions of fixed-time stability for Persidskii-type systems are obtained. The developed approaches are applied to the problem of the fixed-time deployment of mobile agents over a line segment under protocols with switched communication topology. Efficiency of the obtained results is demonstrated by a numerical simulation.",
keywords = "Differential inequality, Equidistant deployment, Fixed-time stability, Multiagent system, Multiple Lyapunov function, Switched system",
author = "Aleksandrov, {A. Yu} and Andriyanova, {N. R.}",
note = "Funding Information: The reported study was supported by the Russian Foundation for Basic Research (Grant no. 19-01-00146-a ). Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2021",
month = may,
doi = "10.1016/j.nahs.2020.101008",
language = "English",
volume = "40",
journal = "Nonlinear Analysis: Hybrid Systems",
issn = "1751-570X",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Fixed-time stability of switched systems with application to a problem of formation control

AU - Aleksandrov, A. Yu

AU - Andriyanova, N. R.

N1 - Funding Information: The reported study was supported by the Russian Foundation for Basic Research (Grant no. 19-01-00146-a ). Publisher Copyright: © 2020 Elsevier Ltd Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2021/5

Y1 - 2021/5

N2 - The problem of fixed-time stability of switched systems is studied. With the aid of the multiple Lyapunov function method, constraints on switching signals are derived under which global fixed-time stability of zero solutions of considered systems can be guaranteed. Sufficient conditions of fixed-time stability for Persidskii-type systems are obtained. The developed approaches are applied to the problem of the fixed-time deployment of mobile agents over a line segment under protocols with switched communication topology. Efficiency of the obtained results is demonstrated by a numerical simulation.

AB - The problem of fixed-time stability of switched systems is studied. With the aid of the multiple Lyapunov function method, constraints on switching signals are derived under which global fixed-time stability of zero solutions of considered systems can be guaranteed. Sufficient conditions of fixed-time stability for Persidskii-type systems are obtained. The developed approaches are applied to the problem of the fixed-time deployment of mobile agents over a line segment under protocols with switched communication topology. Efficiency of the obtained results is demonstrated by a numerical simulation.

KW - Differential inequality

KW - Equidistant deployment

KW - Fixed-time stability

KW - Multiagent system

KW - Multiple Lyapunov function

KW - Switched system

UR - http://www.scopus.com/inward/record.url?scp=85097456823&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/848595c4-40ca-3d9f-907a-0872abb3844d/

U2 - 10.1016/j.nahs.2020.101008

DO - 10.1016/j.nahs.2020.101008

M3 - Article

AN - SCOPUS:85097456823

VL - 40

JO - Nonlinear Analysis: Hybrid Systems

JF - Nonlinear Analysis: Hybrid Systems

SN - 1751-570X

M1 - 101008

ER -

ID: 73246442