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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 1, Pages 70–82
DOI: https://doi.org/10.7868/S0044466918010118 (Mi zvmmf10660) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Solving a local boundary value problem for a nonlinear nonstationary system in the class of feedback controls

A. N. Kvitko

St. Petersburg State University, Petrodvorets, St. Petersburg, Russia
Citations (1)
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DOI: https://doi.org/10.7868/S0044466918010118
Abstract: An algorithm convenient for numerical implementation is proposed for constructing differentiable control functions that transfer a wide class of nonlinear nonstationary systems of ordinary differential equations from an initial state to a given point of the phase space. Constructive sufficient conditions imposed on the right-hand side of the controlled system are obtained under which this transfer is possible. The control of a robotic manipulator is considered, and its numerical simulation is performed.
Key words: boundary conditions, stabilization, controllable system, phase coordinates, algorithm for constructing control functions.
Received: 19.12.2016
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 1, Pages 65–77
DOI: https://doi.org/10.1134/S0965542518010104
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. N. Kvitko, “Solving a local boundary value problem for a nonlinear nonstationary system in the class of feedback controls”, Zh. Vychisl. Mat. Mat. Fiz., 58:1 (2018), 70–82; Comput. Math. Math. Phys., 58:1 (2018), 65–77
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf10660
  • https://www.mathnet.ru/eng/zvmmf/v58/i1/p70
    • This publication is cited in the following 1 articles:
    1. A. N. Kvitko, A. M. Maksina, S. V. Chistyakov, “On a method for solving a local boundary problem for a nonlinear stationary system with perturbations in the class of piecewise constant controls”, Int. J. Robust Nonlinear Control, 29:13 (2019), 4515–4536  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:316
    References:66
     
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