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02-07-2020 | Methodologies and Application

Stability analysis for a class of fractional-order nonlinear systems with time-varying delays

Authors: Pourya Rahmanipour, Hamid Ghadiri

Published in: Soft Computing | Issue 22/2020

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Abstract

This paper presents the stability analysis problem of fractional-order nonlinear systems with time-varying delay. After formulating the problem and selecting the nonlinear model as the system under study, stability analysis and expression of the sufficient conditions for fractional-order nonlinear systems with time-varying delay are obtained using two different methods. In these methods, sufficient conditions for stability of fractional-order nonlinear systems are found in the form of satisfying some inequalities based on norms of nonlinear functions in the system and in terms of linear matrix inequality according fractional-order and nonlinear functions. In each case, despite the presence of time-varying delay, the system stability is ensured by meeting the stability sufficient conditions in terms of an inequality of functions and system parameters. Finally, numerical examples are given to determine the effectiveness of the proposed theorem.

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Title: Stability analysis for a class of fractional-order nonlinear systems with time-varying delays
Authors: Pourya Rahmanipour
Hamid Ghadiri
Publication date: 02-07-2020
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 22/2020
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-020-05118-w

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