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Delayed and switched control of formations on a line segment : Delays and switches do not matter. / Aleksandrov, Alexander; Fradkov, Alexander; Semenov, Aleksandr.

In: IEEE Transactions on Automatic Control, Vol. 65, No. 2, 8721543, 02.2020, p. 794-800.

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@article{26e3528c9453489198ee8cf188d5d028,
title = "Delayed and switched control of formations on a line segment: Delays and switches do not matter",
abstract = "The agents' deployment over a line segment under protocols with communication delays and switching is studied. It is assumed that no information about the value of the communication delay and no information about switching policy in the communication graph is available. It is shown that neither delay values nor switching policy in a natural class may influence convergence of the agent states to the equidistant distribution over the line segment. Similar result is obtained for deployment over the circle. The theoretical results are illustrated by simulations. The proofs relay on both well-known and recent approaches to the stability analysis of positive systems.",
keywords = "Asymptotic stability, delay, formation control, multiagent systems, positive system, switching signal, Protocols, STABILITY, Switches, COORDINATION, Stability analysis, Convergence, SYSTEMS, AGENTS, Delays, Resource management",
author = "Alexander Aleksandrov and Alexander Fradkov and Aleksandr Semenov",
year = "2020",
month = feb,
doi = "10.1109/TAC.2019.2918995",
language = "English",
volume = "65",
pages = "794--800",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

RIS

TY - JOUR

T1 - Delayed and switched control of formations on a line segment

T2 - Delays and switches do not matter

AU - Aleksandrov, Alexander

AU - Fradkov, Alexander

AU - Semenov, Aleksandr

PY - 2020/2

Y1 - 2020/2

N2 - The agents' deployment over a line segment under protocols with communication delays and switching is studied. It is assumed that no information about the value of the communication delay and no information about switching policy in the communication graph is available. It is shown that neither delay values nor switching policy in a natural class may influence convergence of the agent states to the equidistant distribution over the line segment. Similar result is obtained for deployment over the circle. The theoretical results are illustrated by simulations. The proofs relay on both well-known and recent approaches to the stability analysis of positive systems.

AB - The agents' deployment over a line segment under protocols with communication delays and switching is studied. It is assumed that no information about the value of the communication delay and no information about switching policy in the communication graph is available. It is shown that neither delay values nor switching policy in a natural class may influence convergence of the agent states to the equidistant distribution over the line segment. Similar result is obtained for deployment over the circle. The theoretical results are illustrated by simulations. The proofs relay on both well-known and recent approaches to the stability analysis of positive systems.

KW - Asymptotic stability

KW - delay

KW - formation control

KW - multiagent systems

KW - positive system

KW - switching signal

KW - Protocols

KW - STABILITY

KW - Switches

KW - COORDINATION

KW - Stability analysis

KW - Convergence

KW - SYSTEMS

KW - AGENTS

KW - Delays

KW - Resource management

UR - http://www.scopus.com/inward/record.url?scp=85079825728&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/73eb9083-fb44-31a0-af2f-af6fac8398f6/

U2 - 10.1109/TAC.2019.2918995

DO - 10.1109/TAC.2019.2918995

M3 - Article

AN - SCOPUS:85079825728

VL - 65

SP - 794

EP - 800

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 2

M1 - 8721543

ER -

ID: 52231087