Controllability Problem of Fractional Neutral Systems: A Survey

The following article presents recent results of controllability problem of dynamical systems in infinite-dimensional space. Generally speaking, we describe selected controllability problems of fractional order systems, including approximate controllability of fractional impulsive partial neutral in...

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Main Authors: Artur Babiarz, Michał Niezabitowski
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/4715861
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spelling doaj-417f057388d347008652f346d03afc892020-11-24T22:50:13ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/47158614715861Controllability Problem of Fractional Neutral Systems: A SurveyArtur Babiarz0Michał Niezabitowski1Institute of Automatic Control, Silesian University of Technology, 16 Akademicka St., 44-100 Gliwice, PolandInstitute of Automatic Control, Silesian University of Technology, 16 Akademicka St., 44-100 Gliwice, PolandThe following article presents recent results of controllability problem of dynamical systems in infinite-dimensional space. Generally speaking, we describe selected controllability problems of fractional order systems, including approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces, controllability of nonlinear neutral fractional impulsive differential inclusions in Banach space, controllability for a class of fractional neutral integrodifferential equations with unbounded delay, controllability of neutral fractional functional equations with impulses and infinite delay, and controllability for a class of fractional order neutral evolution control systems.http://dx.doi.org/10.1155/2017/4715861
collection DOAJ
language English
format Article
sources DOAJ
author Artur Babiarz
Michał Niezabitowski
spellingShingle Artur Babiarz
Michał Niezabitowski
Controllability Problem of Fractional Neutral Systems: A Survey
Mathematical Problems in Engineering
author_facet Artur Babiarz
Michał Niezabitowski
author_sort Artur Babiarz
title Controllability Problem of Fractional Neutral Systems: A Survey
title_short Controllability Problem of Fractional Neutral Systems: A Survey
title_full Controllability Problem of Fractional Neutral Systems: A Survey
title_fullStr Controllability Problem of Fractional Neutral Systems: A Survey
title_full_unstemmed Controllability Problem of Fractional Neutral Systems: A Survey
title_sort controllability problem of fractional neutral systems: a survey
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description The following article presents recent results of controllability problem of dynamical systems in infinite-dimensional space. Generally speaking, we describe selected controllability problems of fractional order systems, including approximate controllability of fractional impulsive partial neutral integrodifferential inclusions with infinite delay in Hilbert spaces, controllability of nonlinear neutral fractional impulsive differential inclusions in Banach space, controllability for a class of fractional neutral integrodifferential equations with unbounded delay, controllability of neutral fractional functional equations with impulses and infinite delay, and controllability for a class of fractional order neutral evolution control systems.
url http://dx.doi.org/10.1155/2017/4715861
work_keys_str_mv AT arturbabiarz controllabilityproblemoffractionalneutralsystemsasurvey
AT michałniezabitowski controllabilityproblemoffractionalneutralsystemsasurvey
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