$Stability of fractional positive nonlinear systems$

Stability of fractional positive nonlinear systems

The conditions for positivity and stability of a class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a Metzler matrix. The stability conditions are...

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Bibliographic Details
Main Author:	Kaczorek Tadeusz
Format:	Article
Language:	English
Published:	Polish Academy of Sciences 2015-12-01
Series:	Archives of Control Sciences
Subjects:	positive fractional nonlinear system stability
Online Access:	http://www.degruyter.com/view/j/acsc.2015.25.issue-4/acsc-2015-0031/acsc-2015-0031.xml?format=INT

id	doaj-15ca7bc4bfa04cf68565f0cb8a267ac9
record_format	Article
spelling	doaj-15ca7bc4bfa04cf68565f0cb8a267ac92020-11-25T02:33:32ZengPolish Academy of SciencesArchives of Control Sciences2300-26112015-12-0125449149610.1515/acsc-2015-0031acsc-2015-0031Stability of fractional positive nonlinear systemsKaczorek Tadeusz0Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 BialystokThe conditions for positivity and stability of a class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a Metzler matrix. The stability conditions are established by the use of an extension of the Lyapunov method to fractional positive nonlinear systems.http://www.degruyter.com/view/j/acsc.2015.25.issue-4/acsc-2015-0031/acsc-2015-0031.xml?format=INTpositivefractionalnonlinearsystemstability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Kaczorek Tadeusz
spellingShingle	Kaczorek Tadeusz Stability of fractional positive nonlinear systems Archives of Control Sciences positive fractional nonlinear system stability
author_facet	Kaczorek Tadeusz
author_sort	Kaczorek Tadeusz
title	Stability of fractional positive nonlinear systems
title_short	Stability of fractional positive nonlinear systems
title_full	Stability of fractional positive nonlinear systems
title_fullStr	Stability of fractional positive nonlinear systems
title_full_unstemmed	Stability of fractional positive nonlinear systems
title_sort	stability of fractional positive nonlinear systems
publisher	Polish Academy of Sciences
series	Archives of Control Sciences
issn	2300-2611
publishDate	2015-12-01
description	The conditions for positivity and stability of a class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a Metzler matrix. The stability conditions are established by the use of an extension of the Lyapunov method to fractional positive nonlinear systems.
topic	positive fractional nonlinear system stability
url	http://www.degruyter.com/view/j/acsc.2015.25.issue-4/acsc-2015-0031/acsc-2015-0031.xml?format=INT
work_keys_str_mv	AT kaczorektadeusz stabilityoffractionalpositivenonlinearsystems
_version_	1724813405251960832

Stability of fractional positive nonlinear systems

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