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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 3, Pages 166–179 (Mi timm1092)  

This article is cited in 16 scientific papers (total in 17 papers)

On a group control problem under obstacle avoidance

A. B. Kurzhanskii

Lomonosov Moscow State University
References:
Abstract: We consider the problem of coordinated goal-oriented target control for a group of control systems that are to realize a joint movement towards a given target set under collision avoidance. The members of the group are obliged to lie within a virtual ellipsoidal container, which performs a reference motion while also avoiding external obstacles specified in advance. We describe a general solution scheme based on decomposing the main problem into auxiliary subproblems, for which we indicate solution methods as well as the necessity of coordinating these solutions at the final stage.
Keywords: group control, flocking, target set, ellipsoidal trajectory, reference motion, collision avoidance, obstacles, coordination.
Received: 07.07.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2015, Volume 291, Issue 1, Pages 128–142
DOI: https://doi.org/10.1134/S0081543815090096
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. B. Kurzhanskii, “On a group control problem under obstacle avoidance”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 3, 2014, 166–179; Proc. Steklov Inst. Math. (Suppl.), 291, suppl. 1 (2015), 128–142
Citation in format AMSBIB
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\by A.~B.~Kurzhanskii
\paper On a~group control problem under obstacle avoidance
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2014
\vol 20
\issue 3
\pages 166--179
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2015
\vol 291
\issue , suppl. 1
\pages 128--142
\crossref{https://doi.org/10.1134/S0081543815090096}
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  • https://www.mathnet.ru/eng/timm/v20/i3/p166
  • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    References:65
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