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Avtomat. i Telemekh., 2013, Issue 12, Pages 15–30
(Mi at6169)
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This article is cited in 5 scientific papers (total in 5 papers)
Topical issue
Sufficient optimality conditions in hierarchical models of nonuniform systems
V. I. Gurmana, I. V. Rasinab a Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia
b Siberian Academy of Law, Economics, and Management, Irkutsk, Russia
Abstract:
We give a brief survey of the studies developed on the basis of general Krotov's sufficient optimality conditions in an important research direction related to nonuniform systems. We construct a two-layered model of the network structure. The upper level of this model is an abstract network of operators; the lower level contains continuous dynamical models. For such a network, we pose an optimization problem and find general sufficient optimality conditions as generalizations of sufficient conditions for discrete-continuous dynamical systems. We survey possible applications of this direction and consider an example of optimizing nature preservation activities in a river basin.
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Automation and Remote Control, 2013, 74:12, 1935–1947
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Presented by the member of Editorial Board: Е. Я. Рубинович
Received: 04.02.2013
Citation:
V. I. Gurman, I. V. Rasina, “Sufficient optimality conditions in hierarchical models of nonuniform systems”, Avtomat. i Telemekh., 2013, no. 12, 15–30; Autom. Remote Control, 74:12 (2013), 1935–1947
Citation in format AMSBIB
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\paper Sufficient optimality conditions in hierarchical models of nonuniform systems
\jour Avtomat. i Telemekh.
\yr 2013
\issue 12
\pages 15--30
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\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 12
\pages 1935--1947
\crossref{https://doi.org/10.1134/S0005117913120023}
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This publication is cited in the following articles:
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V. I. Gurman, I. V. Rasina, O. V. Fesko, O. V. Usenko, “Metod uluchsheniya upravleniya dlya ierarkhicheskikh modelei sistem setevoi struktury”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 8 (2014), 71–85
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V. I. Gurman, I. V. Rasina, “Optimization of processes in a spin chain”, Autom. Remote Control, 75:12 (2014), 2212–2216
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M. N. Kalimoldayev, M. T. Jenaliyev, A. A. Abdildayeva, L. S. Kopbosyn, “On the optimality one power system”, International Conference on Analysis and Applied Mathematics (ICAAM 2014), AIP Conf. Proc., 1611, eds. A. Ashyralyev, E. Malkowsky, Amer. Inst. Phys., 2014, 194–198
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V. A. Baturin, “Priblizhennyi metod resheniya zadach optimalnogo upravleniya dlya diskretnykh sistem, osnovannyi na lokalnoi approksimatsii mnozhestva dostizhimosti”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 19 (2017), 75–88
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I. V. Rasina, O. V. Fesko, A. O. Blinov, “Seti affinnykh operatorov”, Programmnye sistemy: teoriya i prilozheniya, 8:4 (2017), 117–131
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