Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation

In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space L p (p > 1) with radius µ 0 and centered at the origin. It is shown that the set of trajectories of th...

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Main Authors:	Anar Huseyin, Nesir Huseyin
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2012-11-01
Series:	Mathematical Modelling and Analysis
Subjects:	nonlinear Volterra integral equation controllable system integral constraint set of trajectories
Online Access:	https://journals.vgtu.lt/index.php/MMA/article/view/4903

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spelling	doaj-215454222a264033a5d09e5e955760c42021-07-02T10:07:41ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102012-11-0117510.3846/13926292.2012.736088Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equationAnar Huseyin0Nesir Huseyin1Anadolu University 26470 Eskisehir, TurkeyAnadolu University 26470 Eskisehir, Turkey In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space L p (p > 1) with radius µ 0 and centered at the origin. It is shown that the set of trajectories of the system is a bounded and precompact subset of the space of continuous functions. https://journals.vgtu.lt/index.php/MMA/article/view/4903nonlinear Volterra integral equationcontrollable systemintegral constraintset of trajectories
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Anar Huseyin Nesir Huseyin
spellingShingle	Anar Huseyin Nesir Huseyin Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation Mathematical Modelling and Analysis nonlinear Volterra integral equation controllable system integral constraint set of trajectories
author_facet	Anar Huseyin Nesir Huseyin
author_sort	Anar Huseyin
title	Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation
title_short	Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation
title_full	Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation
title_fullStr	Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation
title_full_unstemmed	Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation
title_sort	precompactness of the set of trajectories of the controllable system described by a nonlinear volterra integral equation
publisher	Vilnius Gediminas Technical University
series	Mathematical Modelling and Analysis
issn	1392-6292 1648-3510
publishDate	2012-11-01
description	In this paper the controllable system whose behaviour is described by a nonlinear Volterra integral equation, is studied. The set of admissible control functions is the closed ball of the space L p (p > 1) with radius µ 0 and centered at the origin. It is shown that the set of trajectories of the system is a bounded and precompact subset of the space of continuous functions.
topic	nonlinear Volterra integral equation controllable system integral constraint set of trajectories
url	https://journals.vgtu.lt/index.php/MMA/article/view/4903
work_keys_str_mv	AT anarhuseyin precompactnessofthesetoftrajectoriesofthecontrollablesystemdescribedbyanonlinearvolterraintegralequation AT nesirhuseyin precompactnessofthesetoftrajectoriesofthecontrollablesystemdescribedbyanonlinearvolterraintegralequation
_version_	1721332307700219904

Precompactness of the set of trajectories of the controllable system described by a nonlinear Volterra integral equation

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