On the controllability of fractional dynamical systems

On the controllability of fractional dynamical systems

This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder’s fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffl...

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Main Authors: Balachandran Krishnan, Kokila Jayakumar
Format: Article
Language:English
Published: Sciendo 2012-09-01
Series:International Journal of Applied Mathematics and Computer Science
Subjects:
controllability
fractional differential equations
mittag-leffler function
Online Access:https://doi.org/10.2478/v10006-012-0039-0
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spelling doaj-7c09d580fd2b4077a63852bc463148ea2021-09-06T19:41:51ZengSciendoInternational Journal of Applied Mathematics and Computer Science2083-84922012-09-0122352353110.2478/v10006-012-0039-0On the controllability of fractional dynamical systemsBalachandran Krishnan0Kokila Jayakumar1Department of Mathematics Bharathiar University, Coimbatore 641 046, IndiaDepartment of Mathematics Bharathiar University, Coimbatore 641 046, IndiaThis paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder’s fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.https://doi.org/10.2478/v10006-012-0039-0controllabilityfractional differential equationsmittag-leffler function
collection DOAJ
language English
format Article
sources DOAJ
author Balachandran Krishnan
Kokila Jayakumar
spellingShingle Balachandran Krishnan
Kokila Jayakumar
On the controllability of fractional dynamical systems
International Journal of Applied Mathematics and Computer Science
controllability
fractional differential equations
mittag-leffler function
author_facet Balachandran Krishnan
Kokila Jayakumar
author_sort Balachandran Krishnan
title On the controllability of fractional dynamical systems
title_short On the controllability of fractional dynamical systems
title_full On the controllability of fractional dynamical systems
title_fullStr On the controllability of fractional dynamical systems
title_full_unstemmed On the controllability of fractional dynamical systems
title_sort on the controllability of fractional dynamical systems
publisher Sciendo
series International Journal of Applied Mathematics and Computer Science
issn 2083-8492
publishDate 2012-09-01
description This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder’s fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.
topic controllability
fractional differential equations
mittag-leffler function
url https://doi.org/10.2478/v10006-012-0039-0
work_keys_str_mv AT balachandrankrishnan onthecontrollabilityoffractionaldynamicalsystems
AT kokilajayakumar onthecontrollabilityoffractionaldynamicalsystems
_version_ 1717765232161456128

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