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Avtomatika i Telemekhanika, 2013, Issue 12, Pages 15–30 (Mi at6169)  

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
Full-text PDF (252 kB) Citations (9)
References:
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.
Presented by the member of Editorial Board: E. Ya. Rubinovich

Received: 04.02.2013
English version:
Automation and Remote Control, 2013, Volume 74, Issue 12, Pages 1935–1947
DOI: https://doi.org/10.1134/S0005117913120023
Bibliographic databases:
Document Type: Article
Language: Russian
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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\by V.~I.~Gurman, I.~V.~Rasina
\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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\transl
\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 12
\pages 1935--1947
\crossref{https://doi.org/10.1134/S0005117913120023}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84891509960}
Linking options:
  • https://www.mathnet.ru/eng/at6169
  • https://www.mathnet.ru/eng/at/y2013/i12/p15
  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Avtomatika i Telemekhanika
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    Abstract page:395
    Full-text PDF :84
    References:65
    First page:27
     
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