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Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations

Our aim in this paper is to investigate the asymptotic behavior of solutions of the perturbed linear fractional differential system. We show that if the original linear autonomous system is asymptotically stable then under the action of small (either linear or nonlinear) nonautonomous perturbations...

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Bibliographic Details
Published in:arXiv.org 2016-01
Main Authors: Cong, N D, Doan, T S, Tuan, H T
Format: Article
Language:English
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Online Access:Get full text
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Summary:Our aim in this paper is to investigate the asymptotic behavior of solutions of the perturbed linear fractional differential system. We show that if the original linear autonomous system is asymptotically stable then under the action of small (either linear or nonlinear) nonautonomous perturbations the trivial solution of the perturbed system is also asymptotically stable.
ISSN:2331-8422
DOI:10.48550/arxiv.1601.06538