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Avtomatika i Telemekhanika, 2012, Issue 11, Pages 76–95 (Mi at4073)  
This article is cited in 3 scientific papers (total in 3 papers)

Topical issue

Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems

O. V. Morzhin

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (286 kB) Citations (3)
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Abstract: We develop a projective approach to nonlocal improvement of controlling functions and parameters in nonlinear optimal control problems for differential and discrete systems. The approach is based on getting exact (without residual terms in decompositions with respect to state and control variables) increment formulas in special differential- and discrete-algebraic conjugate systems. Examples are given.
Presented by the member of Editorial Board: B. T. Polyak

Received: 19.01.2012
English version:
Automation and Remote Control, 2012, Volume 73, Issue 11, Pages 1822–1837
DOI: https://doi.org/10.1134/S0005117912110057
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Morzhin, “Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems”, Avtomat. i Telemekh., 2012, no. 11, 76–95; Autom. Remote Control, 73:11 (2012), 1822–1837
Citation in format AMSBIB
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\by O.~V.~Morzhin
\paper Nonlocal improvement of controlling functions and parameters in nonlinear dynamical systems
\jour Avtomat. i Telemekh.
\yr 2012
\issue 11
\pages 76--95
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\zmath{https://zbmath.org/?q=an:06195802}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 11
\pages 1822--1837
\crossref{https://doi.org/10.1134/S0005117912110057}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84870550020}
Linking options:
  • https://www.mathnet.ru/eng/at4073
  • https://www.mathnet.ru/eng/at/y2012/i11/p76
    • This publication is cited in the following 3 articles:
    1. 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
    2. O. V. Morzhin, “Nelokalnoe uluchshenie upravlenii v nelineinykh diskretnykh sistemakh”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 19 (2017), 150–163  mathnet  crossref
    3. L. Pawela, P. Sadowski, “Various methods of optimizing control pulses for quantum systems with decoherence”, Quantum Inf. Process., 15:5 (2016), 1937–1953  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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    Abstract page:409
    Full-text PDF :89
    References:68
    First page:26
     
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