A. V. Proskurnikov, S. E. Parsegov, “Problem of uniform deployment on a line segment for second-order agents”, Avtomat. i Telemekh., 2016, Issue 7,Pages <nobr>152

This article is cited in 16 papers

Navigation and Control of Moving Systems

Problem of uniform deployment on a line segment for second-order agents

A. V. Proskurnikov^abc, S. E. Parsegov^d

^a St. Petersburg State University of Information Technologies, Mechanics, and Optics (ITMO), St. Petersburg, Russia
^b St. Petersburg State University, St. Petersburg, Russia
^c Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia
^d National Research University Higher School of Economics, Moscow, Russia

Abstract: Consideration was given to a special problem of controlling a formation of mobile agents, that of uniform deployment of several identical agents on a segment of the straight line. For the case of agents obeying the first-order dynamic model, this problem seems to be first formulated in 1997 by I. A. Wagner and A. M. Bruckstein as “row straightening”. In the present paper, the straightening algorithm was generalized to a more interesting case where the agent dynamics obeys second-order differential equations or, stated differently, it is the agent's acceleration (or the force applied to it) that is the control.

Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 12.01.2016