TY - JOUR

T1 - Discrete-time Deployment of Agents on a Line Segment

T2 - Delays and Switches Do Not Matter

AU - Aleksandrov, A. Yu

AU - Semenov, A. D.

AU - Fradkov, A. L.

PY - 2020/4/1

Y1 - 2020/4/1

N2 - This paper considers the discrete-time problem of deploying agents on a line segment under delay in communication channels and switching and also under incomplete information about the value of the delay and the law of switching. It is shown that neither delay nor switching affect the convergence of the agents' states to the uniform allocation on the line segment. The theoretical results are illustrated by numerical simulation. The evidence is based on the well-known and new approaches to the stability analysis of positive systems.

AB - This paper considers the discrete-time problem of deploying agents on a line segment under delay in communication channels and switching and also under incomplete information about the value of the delay and the law of switching. It is shown that neither delay nor switching affect the convergence of the agents' states to the uniform allocation on the line segment. The theoretical results are illustrated by numerical simulation. The evidence is based on the well-known and new approaches to the stability analysis of positive systems.

KW - delay

KW - multiagent systems

KW - positive systems

KW - switching

KW - uniform allocation

UR - http://www.scopus.com/inward/record.url?scp=85083626355&partnerID=8YFLogxK

U2 - 10.1134/S0005117920040062

DO - 10.1134/S0005117920040062

M3 - Article

AN - SCOPUS:85083626355

VL - 81

SP - 637

EP - 648

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 4

ER -