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Research Article | Open Access

Finite-time synchronization of fractional-order chaotic systems by applying the maximum-valued method of functions of five variables

Junli You1Zhengqiu Zhang2( )
School of General Education, Hunan University of Information Technology, Changsha, 410151, China
College of Mathematics, Hunan University, Changsha, 410082, China
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Abstract

In this discussion, the finite time synchronization (FTSN) of master-slave fractional-order chaotic systems (MSFOCSS) is explored. By adopting the maximum-valued method (MVM) of functions of five variables, two novel criteria on the FTSN are obtained for the MSFOCSS. So far, the studies of the FTSN of the MSFOCSS have been rare. Furthermore, the existing results on the FTSN of MSFOCSS have been achieved often by adopting the LMI method and finite time stability theorems (FTST). Thus, instead of utilizing the past research methods, adopting the MVM to study the FTSN of the MSFOCSS is an innovative study work.

CLC number: 34D06, 93D40

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AIMS Mathematics
Pages 7238-7255

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Cite this article:
You J, Zhang Z. Finite-time synchronization of fractional-order chaotic systems by applying the maximum-valued method of functions of five variables. AIMS Mathematics, 2025, 10(3): 7238-7255. https://doi.org/10.3934/math.2025331

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Received: 22 January 2025
Revised: 11 March 2025
Accepted: 13 March 2025
Published: 15 March 2025
©2025 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)