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Avtomatika i Telemekhanika, 2013, Issue 12, Pages 31–55 (Mi at6170)  
This article is cited in 8 scientific papers (total in 8 papers)

Topical issue

Discontinuous solutions of the optimal control problems. Iterative optimization method

V. F. Krotov, O. V. Morzhin, E. A. Trushkova

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (1233 kB) Citations (8)
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Abstract: Consideration was given to the class of optimal control problems for the differential systems with unbounded linear control and, in particular, the classes of problems for the bilinear systems. Such problems are distinguished for the lack of minimum (maximum) on the ordinary class of permissible processes (continuous trajectories, sectionally continuous controls) and for reaching it on some closure of this class including processes with discontinuous trajectories. A direct iterative method for optimization of controls was developed.
Presented by the member of Editorial Board: V. I. Gurman

Received: 04.02.2013
English version:
Automation and Remote Control, 2013, Volume 74, Issue 12, Pages 1948–1968
DOI: https://doi.org/10.1134/S0005117913120035
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. F. Krotov, O. V. Morzhin, E. A. Trushkova, “Discontinuous solutions of the optimal control problems. Iterative optimization method”, Avtomat. i Telemekh., 2013, no. 12, 31–55; Autom. Remote Control, 74:12 (2013), 1948–1968
Citation in format AMSBIB
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\paper Discontinuous solutions of the optimal control problems. Iterative optimization method
\jour Avtomat. i Telemekh.
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\issue 12
\pages 31--55
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\jour Autom. Remote Control
\yr 2013
\vol 74
\issue 12
\pages 1948--1968
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Linking options:
  • https://www.mathnet.ru/eng/at6170
  • https://www.mathnet.ru/eng/at/y2013/i12/p31
    • This publication is cited in the following 8 articles:
    1. Oleg V. Morzhin, Alexander N. Pechen, “Control of the von Neumann entropy for an open two-qubit system using coherent and incoherent drives”, Entropy, 26:1 (2024), 36–22  mathnet  crossref  isi
    2. Sofia Mustafina, Elvira Gizzatova, Tatiana Mikhaylova, 2024 6th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA), 2024, 48  crossref
    3. Oleg V. Morzhin, Alexander N. Pechen, “Krotov type optimization of coherent and incoherent controls for open two-qubit systems”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 45 (2023), 3–23  mathnet  crossref
    4. O. V. Morzhin, A. N. Pechen, “Krotov method for optimal control of closed quantum systems”, Russian Math. Surveys, 74:5 (2019), 851–908  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    5. Kumar A. Jain T., “Analytical Infinite-Time Optimal and Sub-Optimal Controllers For Scalar Nonlinear Systems Using Krotov Sufficient Conditions”, 2019 18Th European Control Conference (Ecc), IEEE, 2019, 3237–3241  crossref  isi
    6. Vladimir I. Gurman, Irina S. Guseva, Oles V. Fesko, AIP Conference Proceedings, 1738, 2016, 400005  crossref
    7. V. I. Gurman, I. V. Rasina, “Optimization of processes in a spin chain”, Autom. Remote Control, 75:12 (2014), 2212–2216  mathnet  crossref  isi
    8. Kalimoldayev M.N. Jenaliyev M.T. Abdildayeva A.A. Kopbosyn L.S., “on the Optimality One Power System”, International Conference on Analysis and Applied Mathematics (ICAAM 2014), AIP Conference Proceedings, 1611, ed. Ashyralyev A. Malkowsky E., Amer Inst Physics, 2014, 194–198  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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