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Application of the Hypodifferential Descent Method to the Problem of Constructing an Optimal Control. / Fominyh, Alexander V.

2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP). ed. / LA Petrosyan; AP Zhabko. IEEE Canada, 2015. p. 560-563.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research

Harvard

Fominyh, AV 2015, Application of the Hypodifferential Descent Method to the Problem of Constructing an Optimal Control. in LA Petrosyan & AP Zhabko (eds), 2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP). IEEE Canada, pp. 560-563, International Conference on "Stability and Control Processes" in Memory of V.I. Zubov, SCP 2015, St. Petersburg, Russian Federation, 5/10/15. https://doi.org/10.1109/SCP.2015.7342225

APA

Fominyh, A. V. (2015). Application of the Hypodifferential Descent Method to the Problem of Constructing an Optimal Control. In LA. Petrosyan, & AP. Zhabko (Eds.), 2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP) (pp. 560-563). IEEE Canada. https://doi.org/10.1109/SCP.2015.7342225

Vancouver

Fominyh AV. Application of the Hypodifferential Descent Method to the Problem of Constructing an Optimal Control. In Petrosyan LA, Zhabko AP, editors, 2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP). IEEE Canada. 2015. p. 560-563 https://doi.org/10.1109/SCP.2015.7342225

Author

Fominyh, Alexander V. / Application of the Hypodifferential Descent Method to the Problem of Constructing an Optimal Control. 2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP). editor / LA Petrosyan ; AP Zhabko. IEEE Canada, 2015. pp. 560-563

BibTeX

@inproceedings{284d9a9fe17346d5838b77ad014eb45e,
title = "Application of the Hypodifferential Descent Method to the Problem of Constructing an Optimal Control",
abstract = "In this paper the problem of optimal control in the classical statement is considered. With the help of the theory of exact penalty functions the original problem is reduced to the problem of unconstrained minimization of a nonsmooth functional. For this functional the necessary minimum conditions in terms of hypodifferential are found. A class of problems, for which these conditions are also sufficient, is distinguished. On the basis of these conditions the hypodifferential descent method is applied to the considered problem. Under some additional assumptions the hypodifferential descent method converges in a certain sense.",
keywords = "CONSTRAINTS",
author = "Fominyh, {Alexander V.}",
year = "2015",
doi = "10.1109/SCP.2015.7342225",
language = "Английский",
pages = "560--563",
editor = "LA Petrosyan and AP Zhabko",
booktitle = "2015 INTERNATIONAL CONFERENCE {"}STABILITY AND CONTROL PROCESSES{"} IN MEMORY OF V.I. ZUBOV (SCP)",
publisher = "IEEE Canada",
address = "Канада",
note = "null ; Conference date: 05-10-2015 Through 09-10-2015",
url = "http://www.apmath.spbu.ru/scp2015/openconf.php",

}

RIS

TY - GEN

T1 - Application of the Hypodifferential Descent Method to the Problem of Constructing an Optimal Control

AU - Fominyh, Alexander V.

PY - 2015

Y1 - 2015

N2 - In this paper the problem of optimal control in the classical statement is considered. With the help of the theory of exact penalty functions the original problem is reduced to the problem of unconstrained minimization of a nonsmooth functional. For this functional the necessary minimum conditions in terms of hypodifferential are found. A class of problems, for which these conditions are also sufficient, is distinguished. On the basis of these conditions the hypodifferential descent method is applied to the considered problem. Under some additional assumptions the hypodifferential descent method converges in a certain sense.

AB - In this paper the problem of optimal control in the classical statement is considered. With the help of the theory of exact penalty functions the original problem is reduced to the problem of unconstrained minimization of a nonsmooth functional. For this functional the necessary minimum conditions in terms of hypodifferential are found. A class of problems, for which these conditions are also sufficient, is distinguished. On the basis of these conditions the hypodifferential descent method is applied to the considered problem. Under some additional assumptions the hypodifferential descent method converges in a certain sense.

KW - CONSTRAINTS

U2 - 10.1109/SCP.2015.7342225

DO - 10.1109/SCP.2015.7342225

M3 - статья в сборнике материалов конференции

SP - 560

EP - 563

BT - 2015 INTERNATIONAL CONFERENCE "STABILITY AND CONTROL PROCESSES" IN MEMORY OF V.I. ZUBOV (SCP)

A2 - Petrosyan, LA

A2 - Zhabko, AP

PB - IEEE Canada

Y2 - 5 October 2015 through 9 October 2015

ER -

ID: 4773156