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Algorithm of the resolving of a boundary-value problem for a nonlinear controlled system and its numerical modeling. / Kvitko, A. N.; Firyulina, O. S.; Eremin, A. S.

In: Vestnik St. Petersburg University: Mathematics, Vol. 50, No. 4, 01.10.2017, p. 372-383.

Research output: Contribution to journal › Article › peer-review

Harvard

Kvitko, AN, Firyulina, OS & Eremin, AS 2017, 'Algorithm of the resolving of a boundary-value problem for a nonlinear controlled system and its numerical modeling', Vestnik St. Petersburg University: Mathematics, vol. 50, no. 4, pp. 372-383. https://doi.org/10.3103/S1063454117040124

APA

Kvitko, A. N., Firyulina, O. S., & Eremin, A. S. (2017). Algorithm of the resolving of a boundary-value problem for a nonlinear controlled system and its numerical modeling. Vestnik St. Petersburg University: Mathematics, 50(4), 372-383. https://doi.org/10.3103/S1063454117040124

Vancouver

Kvitko AN, Firyulina OS, Eremin AS. Algorithm of the resolving of a boundary-value problem for a nonlinear controlled system and its numerical modeling. Vestnik St. Petersburg University: Mathematics. 2017 Oct 1;50(4):372-383. https://doi.org/10.3103/S1063454117040124

Author

Kvitko, A. N. ; Firyulina, O. S. ; Eremin, A. S. / Algorithm of the resolving of a boundary-value problem for a nonlinear controlled system and its numerical modeling. In: Vestnik St. Petersburg University: Mathematics. 2017 ; Vol. 50, No. 4. pp. 372-383.

BibTeX

@article{40dbd7e0dd1c40c58ce17576f4622c39,
title = "Algorithm of the resolving of a boundary-value problem for a nonlinear controlled system and its numerical modeling",
abstract = "An algorithm to construct a differentiable control function guaranteeing the transfer nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space such that restrictions for the control are satisfied is proposed. The proposed algorithm is convenient for numerical implementation and is applicable to a broad class of systems. A sufficient condition of the existence of a desired transfer function is constructed. A certain practical problem is considered and simulated numerically by means of the presented method.",
keywords = "boundary condition, control, nonlinear systems, stabilization",
author = "Kvitko, {A. N.} and Firyulina, {O. S.} and Eremin, {A. S.}",
year = "2017",
month = oct,
day = "1",
doi = "10.3103/S1063454117040124",
language = "English",
volume = "50",
pages = "372--383",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Algorithm of the resolving of a boundary-value problem for a nonlinear controlled system and its numerical modeling

AU - Kvitko, A. N.

AU - Firyulina, O. S.

AU - Eremin, A. S.

PY - 2017/10/1

Y1 - 2017/10/1

N2 - An algorithm to construct a differentiable control function guaranteeing the transfer nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space such that restrictions for the control are satisfied is proposed. The proposed algorithm is convenient for numerical implementation and is applicable to a broad class of systems. A sufficient condition of the existence of a desired transfer function is constructed. A certain practical problem is considered and simulated numerically by means of the presented method.

AB - An algorithm to construct a differentiable control function guaranteeing the transfer nonlinear stationary systems of ordinary differential equations from the initial state to a given final state of the phase space such that restrictions for the control are satisfied is proposed. The proposed algorithm is convenient for numerical implementation and is applicable to a broad class of systems. A sufficient condition of the existence of a desired transfer function is constructed. A certain practical problem is considered and simulated numerically by means of the presented method.

KW - boundary condition

KW - control

KW - nonlinear systems

KW - stabilization

UR - http://www.scopus.com/inward/record.url?scp=85038078623&partnerID=8YFLogxK

U2 - 10.3103/S1063454117040124

DO - 10.3103/S1063454117040124

M3 - Article

AN - SCOPUS:85038078623

VL - 50

SP - 372

EP - 383

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 4

ER -

ID: 14857612