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Avtomat. i Telemekh., 2011, Issue 6, Pages 79–86 (Mi at2225)  

This article is cited in 11 scientific papers (total in 11 papers)

Linear Systems

Optimal control of the spin system on a basis of the global improvement method

O. V. Baturina, O. V. Morzhin

Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

Abstract: The paper considered computing experiments on application of the Krotov method of global (nonlocal) improvement to one problem of the optimal control of a quantum system obeying the Schrödinger equation with a Hamiltonian in the Landau–Zener form.

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English version:
Automation and Remote Control, 2011, 72:6, 1213–1220

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Presented by the member of Editorial Board: . . 

Received: 16.12.2010

Citation: O. V. Baturina, O. V. Morzhin, “Optimal control of the spin system on a basis of the global improvement method”, Avtomat. i Telemekh., 2011, no. 6, 79–86; Autom. Remote Control, 72:6 (2011), 1213–1220

Citation in format AMSBIB
\by O.~V.~Baturina, O.~V.~Morzhin
\paper Optimal control of the spin system on a~basis of the global improvement method
\jour Avtomat. i Telemekh.
\yr 2011
\issue 6
\pages 79--86
\jour Autom. Remote Control
\yr 2011
\vol 72
\issue 6
\pages 1213--1220

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. O. V. Baturina, A. V. Bulatov, O. V. Morzhin, “Algoritmy nelokalnogo uluchsheniya upravlenii v klassakh nelineinykh differentsialnykh sistem”, Programmnye sistemy: teoriya i prilozheniya, 2:5 (2011), 31–48  mathnet
    2. Pechen A. Il'in N., “Trap-Free Manipulation in the Landau–Zener System”, Phys. Rev. A, 86:5 (2012), 052117  crossref  adsnasa  isi  elib  scopus
    3. E. A. Trushkova, “On one class of optimal control problems for quantum systems”, Autom. Remote Control, 74:1 (2013), 26–35  mathnet  crossref  isi
    4. V. F. Krotov, O. V. Morzhin, E. A. Trushkova, “Discontinuous solutions of the optimal control problems. Iterative optimization method”, Autom. Remote Control, 74:12 (2013), 1948–1968  mathnet  crossref  isi
    5. V. I. Gurman, I. S. Guseva, O. V. Fesko, “Magistralnye resheniya v zadache upravleniya kvantovoi sistemoi”, Programmnye sistemy: teoriya i prilozheniya, 4:4 (2013), 91–106  mathnet
    6. V. I. Gurman, I. V. Rasina, “Optimization of processes in a spin chain”, Autom. Remote Control, 75:12 (2014), 2212–2216  mathnet  crossref  isi
    7. V. I. Gurman, “O protsessakh upravleniya v sistemakh vzaimodeistvuyuschikh spinov”, Programmnye sistemy: teoriya i prilozheniya, 6:2 (2015), 119–127  mathnet
    8. Pechen A., Trushechkin A., “Measurement-Assisted Landau–Zener Transitions”, Phys. Rev. A, 91:5 (2015), 052316  crossref  isi  elib  scopus
    9. Rasina I.V., Trushkova E.A., Baturina O.V., Bulatov A.V., Guseva I.S., “Development and applications of Krotov method of global control improvement”, International Conference of Numerical Analysis and Applied Mathematics 2015 (ICNAAM 2015) (Rhodes, Greece, 22–28 September 2015), AIP Conference Proceedings, 1738, eds. Simos T., Tsitouras C., Amer Inst Physics, 2016, 400009  crossref  mathscinet  isi  scopus
    10. 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  adsnasa  isi  elib
    11. Oleg V. Morzhin, Alexander N. Pechen, “On Reachable and Controllability Sets for Minimum-Time Control of an Open Two-Level Quantum System”, Proc. Steklov Inst. Math., 313 (2021), 149–164  mathnet  crossref  crossref  isi  elib
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