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Avtomatika i Telemekhanika, 2016, Issue 7, Pages 152–165 (Mi at14513)  
This article is cited in 16 scientific papers (total in 16 papers)

Navigation and Control of Moving Systems

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

A. V. Proskurnikovabc, S. E. Parsegovd

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
Full-text PDF (730 kB) Citations (16)
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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.
Funding agency Grant number
Russian Foundation for Basic Research 14-08-01015
Saint Petersburg State University 6.38.230.2015
Russian Science Foundation 16-11-00063
14-29-00142
This work was supported in part by the Russian Foundation for Basic Research, project no. 14-08-01015, St. Petersburg State University, project no. 6.38.230.2015, and the Russian Science Foundation, projects nos. 16-11-00063 and 14-29-00142. Theorems 1 and 2 were obtained with support of the Russian Science Foundation, project no. 16-11-00063. Theorem 3 was obtained with support of the Russian Science Foundation, project no. 14-29-00142, at the Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia.
Presented by the member of Editorial Board: P. S. Shcherbakov

Received: 12.01.2016
English version:
Automation and Remote Control, 2016, Volume 77, Issue 7, Pages 1248–1258
DOI: https://doi.org/10.1134/S0005117916070110
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Proskurnikov, S. E. Parsegov, “Problem of uniform deployment on a line segment for second-order agents”, Avtomat. i Telemekh., 2016, no. 7, 152–165; Autom. Remote Control, 77:7 (2016), 1248–1258
Citation in format AMSBIB
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\pages 152--165
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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