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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 7, Pages 1209–1227 (Mi zvmmf9474)  
This article is cited in 4 scientific papers (total in 4 papers)

Decentralized optimal control of dynamical systems under uncertainty

R. Gabasova, N. M. Dmitrukb, F. M. Kirillovab

a Belarussian State University, pr. Nezavisimosti 4, Minsk, 220080 Belarus
b Institute of Mathematics, National Academy of Sciences of Belarus, ul. Surganova 11, Minsk, 220072 Belarus
Full-text PDF (1091 kB) Citations (4)
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Abstract: The problem of optimal control of a group of interconnected dynamical objects under uncertainty is considered. The cases are examined in which the centralized control of the group of objects is impossible due to delay in the channel for information exchange between the group members. Optimal self-control algorithms in real time for each dynamical object are proposed. Various types of a priori and current information about the behavior of the group members and about uncertainties in the system are examined. The proposed methods supplement the earlier developed optimal control methods for an individual dynamical system and the methods of decentralized optimal control of deterministic objects. The results are illustrated with examples.
Key words: group of dynamical objects, optimal control, uncertainty, decentralization principle, algorithm.
Received: 09.11.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 7, Pages 1128–1145
DOI: https://doi.org/10.1134/S0965542511070062
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: R. Gabasov, N. M. Dmitruk, F. M. Kirillova, “Decentralized optimal control of dynamical systems under uncertainty”, Zh. Vychisl. Mat. Mat. Fiz., 51:7 (2011), 1209–1227; Comput. Math. Math. Phys., 51:7 (2011), 1128–1145
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf9474
  • https://www.mathnet.ru/eng/zvmmf/v51/i7/p1209
    • This publication is cited in the following 4 articles:
    1. R. Gabasov, N. M. Dmitruk, F. M. Kirillova, “O probleme optimalnogo upravleniya dinamicheskimi sistemami v realnom vremeni”, Differentsialnye uravneniya i optimalnoe upravlenie, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 183, VINITI RAN, M., 2020, 98–112  mathnet  crossref  mathscinet  elib
    2. N. M. Dmitruk, “Stabilization of coupled linear systems via bounded distributed feedbacks”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 30 (2019), 31–44  mathnet  crossref
    3. N. M. Dmitruk, A. I. Kalinin, “Asymptotically suboptimal control of weakly interconnected dynamical systems”, Comput. Math. Math. Phys., 56:10 (2016), 1695–1707  mathnet  crossref  crossref  isi  elib
    4. Dmitruk N., “Robust Optimal Control of Dynamically Decoupled Systems Via Distributed Feedbacks”, Optimization in the Natural Sciences, Emc-Ons 2014, Communications in Computer and Information Science, 499, eds. Plakhov A., Tchemisova T., Freitas A., Springer-Verlag Berlin, 2015, 95–106  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:92
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