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Open-Loop Control of a Plant Described by a System with Nonsmooth Right-Hand Side. / Fominyh, A. V.

In: Computational Mathematics and Mathematical Physics, Vol. 59, No. 10, 2019, p. 1639-1648.

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

Harvard

Fominyh, AV 2019, 'Open-Loop Control of a Plant Described by a System with Nonsmooth Right-Hand Side', Computational Mathematics and Mathematical Physics, vol. 59, no. 10, pp. 1639-1648. https://doi.org/10.1134/S0965542519100075

APA

Fominyh, A. V. (2019). Open-Loop Control of a Plant Described by a System with Nonsmooth Right-Hand Side. Computational Mathematics and Mathematical Physics, 59(10), 1639-1648. https://doi.org/10.1134/S0965542519100075

Vancouver

Fominyh AV. Open-Loop Control of a Plant Described by a System with Nonsmooth Right-Hand Side. Computational Mathematics and Mathematical Physics. 2019;59(10):1639-1648. https://doi.org/10.1134/S0965542519100075

Author

Fominyh, A. V. / Open-Loop Control of a Plant Described by a System with Nonsmooth Right-Hand Side. In: Computational Mathematics and Mathematical Physics. 2019 ; Vol. 59, No. 10. pp. 1639-1648.

BibTeX

@article{1a1a35045c494928843d065d95f92475,
title = "Open-Loop Control of a Plant Described by a System with Nonsmooth Right-Hand Side",
abstract = "Open-loop control of a plant governed by a system of differential equations in normal form is studied. The right-hand side of this system includes nonsmooth terms. The original problem is reduced to the unconstrained minimization of a nonsmooth functional. Necessary and sufficient minimum conditions in terms of subdifferential are found. Based on these conditions, the subdifferential descent method is used to solve the problem. The proposed approach is illustrated by numerical examples.",
keywords = "nonsmooth functional, nonsmooth right-hand side, open-loop control, subdifferential descent method, variational problem, STATE, OPTIMALITY CONDITIONS",
author = "Fominyh, {A. V.}",
year = "2019",
doi = "10.1134/S0965542519100075",
language = "English",
volume = "59",
pages = "1639--1648",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "10",

}

RIS

TY - JOUR

T1 - Open-Loop Control of a Plant Described by a System with Nonsmooth Right-Hand Side

AU - Fominyh, A. V.

PY - 2019

Y1 - 2019

N2 - Open-loop control of a plant governed by a system of differential equations in normal form is studied. The right-hand side of this system includes nonsmooth terms. The original problem is reduced to the unconstrained minimization of a nonsmooth functional. Necessary and sufficient minimum conditions in terms of subdifferential are found. Based on these conditions, the subdifferential descent method is used to solve the problem. The proposed approach is illustrated by numerical examples.

AB - Open-loop control of a plant governed by a system of differential equations in normal form is studied. The right-hand side of this system includes nonsmooth terms. The original problem is reduced to the unconstrained minimization of a nonsmooth functional. Necessary and sufficient minimum conditions in terms of subdifferential are found. Based on these conditions, the subdifferential descent method is used to solve the problem. The proposed approach is illustrated by numerical examples.

KW - nonsmooth functional

KW - nonsmooth right-hand side

KW - open-loop control

KW - subdifferential descent method

KW - variational problem

KW - STATE

KW - OPTIMALITY CONDITIONS

UR - http://www.scopus.com/inward/record.url?scp=85074295429&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/openloop-control-plant-described-system-nonsmooth-righthand-side

U2 - 10.1134/S0965542519100075

DO - 10.1134/S0965542519100075

M3 - Article

AN - SCOPUS:85074295429

VL - 59

SP - 1639

EP - 1648

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 10

ER -

ID: 48487933