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Avtomatika i Telemekhanika, 2012, Issue 6, Pages 18–33 (Mi at3811)  
This article is cited in 5 scientific papers (total in 5 papers)

Nonlinear Systems

Maximizing a state convex Lagrange functional in optimal control

A. S. Strekalovsky

Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
Full-text PDF (207 kB) Citations (5)
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Abstract: We consider the maximization problem for an integral functional with a state-convex integrand function along a standard control system. We show necessary and sufficient global optimality conditions related to the Pontryagin's maximum principle. We study the properties of these conditions and their relations with optimal control theory. We also illustrate the efficiency of the resulting conditions on specific examples.
Presented by the member of Editorial Board: I. V. Roublev

Received: 11.11.2010
English version:
Automation and Remote Control, 2012, Volume 73, Issue 6, Pages 949–961
DOI: https://doi.org/10.1134/S0005117912060021
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. S. Strekalovsky, “Maximizing a state convex Lagrange functional in optimal control”, Avtomat. i Telemekh., 2012, no. 6, 18–33; Autom. Remote Control, 73:6 (2012), 949–961
Citation in format AMSBIB
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\paper Maximizing a~state convex Lagrange functional in optimal control
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Linking options:
  • https://www.mathnet.ru/eng/at3811
  • https://www.mathnet.ru/eng/at/y2012/i6/p18
    • This publication is cited in the following 5 articles:
    1. A S Strekalovsky, “On nonconvex optimal control problems”, J. Phys.: Conf. Ser., 1715:1 (2021), 012047  crossref
    2. A. S. Strekalovsky, Lecture Notes in Computer Science, 12755, Mathematical Optimization Theory and Operations Research, 2021, 17  crossref
    3. Strekalovsky A.S., Yanulevich M.V., “On Global Search in Nonconvex Optimal Control Problems”, J. Glob. Optim., 65:1, SI (2016), 119–135  crossref  mathscinet  zmath  isi  elib  scopus
    4. A. S. Strekalovskii, “Sovremennye metody resheniya nevypuklykh zadach optimalnogo upravleniya”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 8 (2014), 141–163  mathnet
    5. Strekalovsky A.S., Yanulevich M.V., “Global Search in a Noncovex Optimal Control Problem”, J. Comput. Syst. Sci. Int., 52:6 (2013), 893–908  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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