On the approximation of the set of trajectories of control system described by a Volterra integral equation

In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. It is shown that the sectio...

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Main Author:	Anar Huseyin
Format:	Article
Language:	English
Published:	Vilnius University Press 2014-04-01
Series:	Nonlinear Analysis
Subjects:	nonlinear Volterra integral equation control system integral constraint set of trajectories approximation
Online Access:	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13681

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spelling	doaj-ee86299a95d34b139b3d57615aea5db12020-11-24T21:59:55ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-04-0119210.15388/NA.2014.2.4On the approximation of the set of trajectories of control system described by a Volterra integral equationAnar Huseyin0Anadolu University, Turkey In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. It is shown that the sections of the set of trajectories can be approximated by the sections of trajectories, generated by the mixed constrained and Lipschitz continuous control functions, the Lipschitz constant of which is bounded. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13681nonlinear Volterra integral equationcontrol systemintegral constraintset of trajectoriesapproximation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Anar Huseyin
spellingShingle	Anar Huseyin On the approximation of the set of trajectories of control system described by a Volterra integral equation Nonlinear Analysis nonlinear Volterra integral equation control system integral constraint set of trajectories approximation
author_facet	Anar Huseyin
author_sort	Anar Huseyin
title	On the approximation of the set of trajectories of control system described by a Volterra integral equation
title_short	On the approximation of the set of trajectories of control system described by a Volterra integral equation
title_full	On the approximation of the set of trajectories of control system described by a Volterra integral equation
title_fullStr	On the approximation of the set of trajectories of control system described by a Volterra integral equation
title_full_unstemmed	On the approximation of the set of trajectories of control system described by a Volterra integral equation
title_sort	on the approximation of the set of trajectories of control system described by a volterra integral equation
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2014-04-01
description	In this paper, the set of trajectories of the control system described by a nonlinear Volterra integral equation is studied. It is assumed that the set of admissible control functions is the closed ball of the space Lp, p > 1, with radius µ and centered at the origin. It is shown that the sections of the set of trajectories can be approximated by the sections of trajectories, generated by the mixed constrained and Lipschitz continuous control functions, the Lipschitz constant of which is bounded.
topic	nonlinear Volterra integral equation control system integral constraint set of trajectories approximation
url	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13681
work_keys_str_mv	AT anarhuseyin ontheapproximationofthesetoftrajectoriesofcontrolsystemdescribedbyavolterraintegralequation
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On the approximation of the set of trajectories of control system described by a Volterra integral equation

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