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Avtomatika i Telemekhanika, 2013, Issue 12, Pages 15–30
(Mi at6169)
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This article is cited in 9 scientific papers (total in 9 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.
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
Linking options:
https://www.mathnet.ru/eng/at6169 https://www.mathnet.ru/eng/at/y2013/i12/p15
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Statistics & downloads: |
Abstract page: | 395 | Full-text PDF : | 84 | References: | 65 | First page: | 27 |
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