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Theoretical and Applied Mechanics, 2020, Volume 47, Issue 2, Pages 241–255
DOI: https://doi.org/10.2298/TAM201203016L (Mi tam88) 		 
Robust finite-time stability of uncertain neutral nonhomogeneous fractional-order systems with time-varying delays

Mihailo P. Lazarevića, Darko Radojevića, Stjepko Pišla, Guido Maioneb

a Faculty of Mechanical Engineering, The University of Belgrade, Belgrade, Serbia
b Department of Electrical and Information Engineering, Polytechnic University of Bari, Bari, Italy
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DOI: https://doi.org/10.2298/TAM201203016L
Abstract: This article addresses the problem of finite-time stability for uncertain neutral nonhomogeneous fractional-order systems with time-varying delays where a stability test procedure is suggested. Based on the extended form of the generalized Grönwall inequality, a new sufficient condition for robust finite-time stability of such systems is established. Finally, a numerical example is given to show the effectiveness of the obtained result.
Keywords: finite-time stability, neutral, fractional order, time-varying delay, perturbed systems.
Funding agency Grant number
Ministry of Education, Science and Technical Development of Serbia 451-03-68/2020-14/200105
This work is supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia under the project 451-03-68/2020-14/200105, and partially supported by the Serbian–Italian bilateral project ADFOCMEDER.
Received: 03.12.2020
Revised: 09.12.2020
Bibliographic databases:
Document Type: Article
MSC: Primary 93D40; Secondary 26А33
Language: English
Citation: Mihailo P. Lazarević, Darko Radojević, Stjepko Pišl, Guido Maione, “Robust finite-time stability of uncertain neutral nonhomogeneous fractional-order systems with time-varying delays”, Theor. Appl. Mech., 47:2 (2020), 241–255
Citation in format AMSBIB
\Bibitem{LazRadPis20}
\by Mihailo~P.~Lazarevi\'c, Darko~Radojevi\'c, Stjepko~Pi{\v s}l, Guido~Maione
\paper Robust finite-time stability of uncertain neutral nonhomogeneous fractional-order systems with time-varying delays
\jour Theor. Appl. Mech.
\yr 2020
\vol 47
\issue 2
\pages 241--255
\mathnet{http://mi.mathnet.ru/tam88}
\crossref{https://doi.org/10.2298/TAM201203016L}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000607924500006}
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