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Research Article | Open Access

A new fixed-time stability criterion for fractional-order systems

Yucai Ding( ), Hui Liu
School of science, Southwest University of Science and Technology, Mianyang, 621010, China
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Abstract

In this work, we study the fixed-time stability of fractional-order systems. By virtue of the properties of Riemann-Liouville fractional derivative and the comparison principle, we derive a new fixed-time stability theorem for fractional-order systems. Meanwhile, order-dependent setting time is formulated. Based on the developed fixed-time stability theorem, a fixed-time synchronization criterion for fractional-order neural networks is given. Simulation result demonstrates the effectiveness of our proposed results.

Keywords

fixed-time stabilityfixed-time synchronizationfractional-order neural networkscomparison principle
CLC number: 93B52, 93C42

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 6173-6181
DOI: 10.3934/math.2022343

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Cite this article:
Ding Y, Liu H. A new fixed-time stability criterion for fractional-order systems. AIMS Mathematics, 2022, 7(4): 6173-6181. https://doi.org/10.3934/math.2022343

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Received: 03 November 2021
Revised: 24 December 2021
Accepted: 12 January 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)