This article is cited in 7 papers

Robust, Adaptive and Network Control

Discrete-time deployment of agents on a line segment: delays and switches do not matter

A. Yu. Aleksandrov^ab, A. D. Semenov^b, A. L. Fradkov<sup>ca

a</sup> St. Petersburg State University, St. Petersburg, Russia
^b ITMO University, St. Petersburg, Russia
^c Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: 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.

Keywords: multiagent systems, uniform allocation, positive systems, delay, switching.

Presented by the member of Editorial Board: P. V. Pakshin

Received: 17.02.2019
Revised: 07.11.2019
Accepted: 28.11.2019

DOI: 10.31857/S0005231020040066

 English version: Automation and Remote Control, 2020, 81:4, 637–648

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