Standard

Penalty functions in a control problem. / Karelin, V. V.

In: Automation and Remote Control, Vol. 65, No. 3, 03.2004, p. 483-492.

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

Harvard

Karelin, VV 2004, 'Penalty functions in a control problem', Automation and Remote Control, vol. 65, no. 3, pp. 483-492. https://doi.org/10.1023/B:AURC.0000019381.32610.e9

APA

Karelin, V. V. (2004). Penalty functions in a control problem. Automation and Remote Control, 65(3), 483-492. https://doi.org/10.1023/B:AURC.0000019381.32610.e9

Vancouver

Karelin VV. Penalty functions in a control problem. Automation and Remote Control. 2004 Mar;65(3):483-492. https://doi.org/10.1023/B:AURC.0000019381.32610.e9

Author

Karelin, V. V. / Penalty functions in a control problem. In: Automation and Remote Control. 2004 ; Vol. 65, No. 3. pp. 483-492.

BibTeX

@article{093ca27ba8c940fd83d7fb2ebeefd60b,
title = "Penalty functions in a control problem",
abstract = "The exact penalty method is applied to the problem of optimal control of a system described by ordinary differential equations. Though the functional thus obtained is essentially nonsmooth, it is direction differentiable (and even subdifferentiable). Differential equations are regarded as constraints and {"}eliminated{"} by introducing a penalty function. The aim of this paper is to show the well-known conditions of optimality can be derived via penalty functions.",
author = "Karelin, {V. V.}",
year = "2004",
month = mar,
doi = "10.1023/B:AURC.0000019381.32610.e9",
language = "English",
volume = "65",
pages = "483--492",
journal = "Automation and Remote Control",
issn = "0005-1179",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "3",

}

RIS

TY - JOUR

T1 - Penalty functions in a control problem

AU - Karelin, V. V.

PY - 2004/3

Y1 - 2004/3

N2 - The exact penalty method is applied to the problem of optimal control of a system described by ordinary differential equations. Though the functional thus obtained is essentially nonsmooth, it is direction differentiable (and even subdifferentiable). Differential equations are regarded as constraints and "eliminated" by introducing a penalty function. The aim of this paper is to show the well-known conditions of optimality can be derived via penalty functions.

AB - The exact penalty method is applied to the problem of optimal control of a system described by ordinary differential equations. Though the functional thus obtained is essentially nonsmooth, it is direction differentiable (and even subdifferentiable). Differential equations are regarded as constraints and "eliminated" by introducing a penalty function. The aim of this paper is to show the well-known conditions of optimality can be derived via penalty functions.

UR - http://www.scopus.com/inward/record.url?scp=84904240291&partnerID=8YFLogxK

U2 - 10.1023/B:AURC.0000019381.32610.e9

DO - 10.1023/B:AURC.0000019381.32610.e9

M3 - Article

AN - SCOPUS:84904240291

VL - 65

SP - 483

EP - 492

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 3

ER -

ID: 49928109