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

Junli You; Zhengqiu Zhang; Junli You; Zhengqiu Zhang

doi:10.3934/math.2025331

AIMS Mathematics

2025, Volume 10, Issue 3: 7238-7255. doi: 10.3934/math.2025331

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Research article

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

Junli You ¹,
Zhengqiu Zhang ^{2
,
,}

1.
School of General Education, Hunan University of Information Technology, Changsha, 410151, China
2.
College of Mathematics, Hunan University, Changsha, 410082, China

Received: 22 January 2025 Revised: 11 March 2025 Accepted: 13 March 2025 Published: 28 March 2025
MSC : 34D06, 93D40

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.
Citation: Junli You, Zhengqiu Zhang. Finite-time synchronization of fractional-order chaotic systems by applying the maximum-valued method of functions of five variables[J]. AIMS Mathematics, 2025, 10(3): 7238-7255. doi: 10.3934/math.2025331

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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.

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