On the compactness of the set of L-2 trajectories of the control system

In this paper, the compactness of the set of L2 trajectories of the control system described by the Urysohn-type integral equation is studied. The control functions are chosen from the closed ball of the space L2 with radius r and centered at the origin. Existence of an optimal trajectory of the op...

Full description

Bibliographic Details
Main Authors:	Nesir Huseyin, Anar Huseyin
Format:	Article
Language:	English
Published:	Vilnius University Press 2018-06-01
Series:	Nonlinear Analysis
Subjects:	control system Urysohn integral equation integral constraint compactness set of L-2 trajectories
Online Access:	http://www.journals.vu.lt/nonlinear-analysis/article/view/13195

id	doaj-df018c366d194ff2aec038c6f2ae6646
record_format	Article
spelling	doaj-df018c366d194ff2aec038c6f2ae66462020-11-25T02:46:54ZengVilnius University PressNonlinear Analysis1392-51132335-89632018-06-0123310.15388/NA.2018.3.8On the compactness of the set of L-2 trajectories of the control systemNesir Huseyin0Anar Huseyin1Cumhuriyet University, TurkeyCumhuriyet University, Turkey In this paper, the compactness of the set of L2 trajectories of the control system described by the Urysohn-type integral equation is studied. The control functions are chosen from the closed ball of the space L2 with radius r and centered at the origin. Existence of an optimal trajectory of the optimal control problem with lower semicontinuous payoff functional is discussed. http://www.journals.vu.lt/nonlinear-analysis/article/view/13195control systemUrysohn integral equationintegral constraintcompactnessset of L-2 trajectories
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Nesir Huseyin Anar Huseyin
spellingShingle	Nesir Huseyin Anar Huseyin On the compactness of the set of L-2 trajectories of the control system Nonlinear Analysis control system Urysohn integral equation integral constraint compactness set of L-2 trajectories
author_facet	Nesir Huseyin Anar Huseyin
author_sort	Nesir Huseyin
title	On the compactness of the set of L-2 trajectories of the control system
title_short	On the compactness of the set of L-2 trajectories of the control system
title_full	On the compactness of the set of L-2 trajectories of the control system
title_fullStr	On the compactness of the set of L-2 trajectories of the control system
title_full_unstemmed	On the compactness of the set of L-2 trajectories of the control system
title_sort	on the compactness of the set of l-2 trajectories of the control system
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2018-06-01
description	In this paper, the compactness of the set of L2 trajectories of the control system described by the Urysohn-type integral equation is studied. The control functions are chosen from the closed ball of the space L2 with radius r and centered at the origin. Existence of an optimal trajectory of the optimal control problem with lower semicontinuous payoff functional is discussed.
topic	control system Urysohn integral equation integral constraint compactness set of L-2 trajectories
url	http://www.journals.vu.lt/nonlinear-analysis/article/view/13195
work_keys_str_mv	AT nesirhuseyin onthecompactnessofthesetofl2trajectoriesofthecontrolsystem AT anarhuseyin onthecompactnessofthesetofl2trajectoriesofthecontrolsystem
_version_	1724755897771622400

On the compactness of the set of L-2 trajectories of the control system

Similar Items