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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Pages 404–414
DOI: https://doi.org/10.7868/S0044466914030120 (Mi zvmmf10002) 		 
This article is cited in 11 scientific papers (total in 12 papers)

Control of ellipsoidal trajectories: Theory and numerical results

A. B. Kurzhanski, A. I. Mesyats

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
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DOI: https://doi.org/10.7868/S0044466914030120
Abstract: An integral functional is optimized over set-valued trajectories in a differential motion control model under state constraints. The motion trajectories are assumed to be ellipsoid-valued. The construction relies on a suitable version of Hamiltonian formalism. A key point is that the solutions are described as matrix functions in terms of tensor analysis. The approach is especially efficient as applied to high-dimensional systems.
Key words: optimal control, Hamiltonian formalism, set-valued functions, ellipsoidal trajectories, matrix spaces, state constraints.
Received: 29.05.2013
Revised: 17.10.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 418–428
DOI: https://doi.org/10.1134/S0965542514030117
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. B. Kurzhanski, A. I. Mesyats, “Control of ellipsoidal trajectories: Theory and numerical results”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 404–414; Comput. Math. Math. Phys., 54:3 (2014), 418–428
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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