Standard

Exact penalties in a problem of constructing an optimal solution of a differential inclusion. / Karelin, V. V.; Fominykh, A.

In: ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН, Vol. 21, No. 3, 2015, p. 153-163.

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

Harvard

Karelin, VV & Fominykh, A 2015, 'Exact penalties in a problem of constructing an optimal solution of a differential inclusion', ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН, vol. 21, no. 3, pp. 153-163.

APA

Karelin, V. V., & Fominykh, A. (2015). Exact penalties in a problem of constructing an optimal solution of a differential inclusion. ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН, 21(3), 153-163.

Vancouver

Karelin VV, Fominykh A. Exact penalties in a problem of constructing an optimal solution of a differential inclusion. ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН. 2015;21(3):153-163.

Author

Karelin, V. V. ; Fominykh, A. / Exact penalties in a problem of constructing an optimal solution of a differential inclusion. In: ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН. 2015 ; Vol. 21, No. 3. pp. 153-163.

BibTeX

@article{7fe00a75fca34bdfb96a96a1ec60da6f,
title = "Exact penalties in a problem of constructing an optimal solution of a differential inclusion",
abstract = "A differential inclusion with given set-valued mapping and initial point is considered. For this differential inclusion, it is required to find a solution that minimizes an integral functional. We use the techniques of support functions and exact penalty functions to obtain some classical results of the maximum principle for differential inclusions in the case where the support function of the set-valued mapping is continuously differentiable in the phase variables. We also consider the case where the support function of the set-valued mapping is not differentiable in the phase variables.",
keywords = "nonsmooth functional, differential inclusion, support function, exact penalty function, maximum principle",
author = "Karelin, {V. V.} and A. Fominykh",
year = "2015",
language = "не определен",
volume = "21",
pages = "153--163",
journal = "ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН",
issn = "0134-4889",
publisher = "Институт математики и механики им. Н.Н. Красовского УрО РАН ",
number = "3",

}

RIS

TY - JOUR

T1 - Exact penalties in a problem of constructing an optimal solution of a differential inclusion

AU - Karelin, V. V.

AU - Fominykh, A.

PY - 2015

Y1 - 2015

N2 - A differential inclusion with given set-valued mapping and initial point is considered. For this differential inclusion, it is required to find a solution that minimizes an integral functional. We use the techniques of support functions and exact penalty functions to obtain some classical results of the maximum principle for differential inclusions in the case where the support function of the set-valued mapping is continuously differentiable in the phase variables. We also consider the case where the support function of the set-valued mapping is not differentiable in the phase variables.

AB - A differential inclusion with given set-valued mapping and initial point is considered. For this differential inclusion, it is required to find a solution that minimizes an integral functional. We use the techniques of support functions and exact penalty functions to obtain some classical results of the maximum principle for differential inclusions in the case where the support function of the set-valued mapping is continuously differentiable in the phase variables. We also consider the case where the support function of the set-valued mapping is not differentiable in the phase variables.

KW - nonsmooth functional

KW - differential inclusion

KW - support function

KW - exact penalty function

KW - maximum principle

M3 - статья

VL - 21

SP - 153

EP - 163

JO - ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН

JF - ТРУДЫ ИНСТИТУТА МАТЕМАТИКИ И МЕХАНИКИ УРО РАН

SN - 0134-4889

IS - 3

ER -

ID: 43410092