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Theor. Appl. Mech., 2020 Volume 47, Issue 2, Pages 241–255 (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

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.

MSC: Primary 93D40; Secondary 26À33

Received: 03.12.2020
Revised: 09.12.2020

Language: English

DOI: 10.2298/TAM201203016L



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