Децентрализованные алгоритмы управления группой мобильных агентов на прямой при распределенном коммуникационном запаздывании

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Децентрализованные алгоритмы управления группой мобильных агентов на прямой при распределенном коммуникационном запаздывании. / Александров, Александр Юрьевич ; Рузин, Сергей Борисович.

In: ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ, Vol. 21, No. 1, 2025, p. 139–150.

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

BibTeX

@article{013888935d5644e9a267a4a54297ac87,

title = "Децентрализованные алгоритмы управления группой мобильных агентов на прямой при распределенном коммуникационном запаздывании",

abstract = "A group of mobile agents on a straight line is studied, the dynamics of which are modeled by second-order integrators. It is assumed that there is a distributed delay in the communication channels between agents. In addition, the case of a switching network topology is considered, and the switching law may be unknown. Decentralized protocols are constructed that ensure both uniform and nonlinear-uniform (uniform with respect to some function) distributions of agents on a given segment of the straight line. It is proved that the convergence of agents to the required distributions is guaranteed for any switching law of connections. To obtain these results, methods of the theory of positive systems, a special approach to the decomposition of mechanical systems, and the Lyapunov direct method are used. Numerical modeling is carried out, confirming the established theoretical conclusions.",

keywords = "Lyapunov-Krasovskii functional, distributed delay, double integrators, mobile agents, network control, switchings",

author = "Александров, {Александр Юрьевич} and Рузин, {Сергей Борисович}",

year = "2025",

doi = "10.21638/spbu10.2025.110",

language = "русский",

volume = "21",

pages = "139–150",

journal = " ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ",

issn = "1811-9905",

publisher = "Издательство Санкт-Петербургского университета",

number = "1",

}

RIS

TY - JOUR

T1 - Децентрализованные алгоритмы управления группой мобильных агентов на прямой при распределенном коммуникационном запаздывании

AU - Александров, Александр Юрьевич

AU - Рузин, Сергей Борисович

PY - 2025

Y1 - 2025

N2 - A group of mobile agents on a straight line is studied, the dynamics of which are modeled by second-order integrators. It is assumed that there is a distributed delay in the communication channels between agents. In addition, the case of a switching network topology is considered, and the switching law may be unknown. Decentralized protocols are constructed that ensure both uniform and nonlinear-uniform (uniform with respect to some function) distributions of agents on a given segment of the straight line. It is proved that the convergence of agents to the required distributions is guaranteed for any switching law of connections. To obtain these results, methods of the theory of positive systems, a special approach to the decomposition of mechanical systems, and the Lyapunov direct method are used. Numerical modeling is carried out, confirming the established theoretical conclusions.

AB - A group of mobile agents on a straight line is studied, the dynamics of which are modeled by second-order integrators. It is assumed that there is a distributed delay in the communication channels between agents. In addition, the case of a switching network topology is considered, and the switching law may be unknown. Decentralized protocols are constructed that ensure both uniform and nonlinear-uniform (uniform with respect to some function) distributions of agents on a given segment of the straight line. It is proved that the convergence of agents to the required distributions is guaranteed for any switching law of connections. To obtain these results, methods of the theory of positive systems, a special approach to the decomposition of mechanical systems, and the Lyapunov direct method are used. Numerical modeling is carried out, confirming the established theoretical conclusions.

KW - Lyapunov-Krasovskii functional

KW - distributed delay

KW - double integrators

KW - mobile agents

KW - network control

KW - switchings

UR - https://applmathjournal.spbu.ru/article/view/20116/13116

UR - https://www.mendeley.com/catalogue/cf4d5b37-0bb2-3099-9f42-91526280570b/

U2 - 10.21638/spbu10.2025.110

DO - 10.21638/spbu10.2025.110

M3 - статья

VL - 21

SP - 139

EP - 150

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. ПРИКЛАДНАЯ МАТЕМАТИКА. ИНФОРМАТИКА. ПРОЦЕССЫ УПРАВЛЕНИЯ

SN - 1811-9905

IS - 1

ER -

ID: 136293917