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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Series: | Mathematical Problems in Engineering |
Online Access: | http://dx.doi.org/10.1155/2017/4715861 |
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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 |
_version_ |
1725673392580853760 |