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Fixed-Time Multi-Switch Combined-Combined Synchronization of Fractional-Order Chaotic Systems with Uncertainties and External Disturbances
By
Liu, DH (Liu, Dehui) [1] ; Li, TZ (Li, Tianzeng) [1] ; He, XL (He, Xiliang) [1]
Source
FRACTAL AND FRACTIONAL
Volume7Issue4
DOI10.3390/fractalfract7040281
Article Number
281
Published
APR 2023
Indexed
2023-05-10
Document Type
Article
Jump to
Abstract
In this paper, the fixed-time multi-switch combination-combination synchronization (FTMSCCS) of fractional-order chaotic systems with uncertainties and external disturbances is studied. The appropriate sliding mode surface and controller are proposed based on a Lyapunov theorem, and fixed-time multi-switching combination-combination synchronizations between four fractional-order chaotic systems are realized. The Lyapunov function is designed to prove the feasibility of the controller theoretically, and the effectiveness and robustness of the synchronization mechanism are further verified by numerical simulations. The advantage of this article is that it extends fixed-time synchronization to multi-switch combination-combination synchronization, enabling synchronization for a limited time, while increasing the complexity of the synchronization mechanism and improving its confidentiality in communication applications.

Keywords
Author Keywordsfixed timemulti-switch combination-combination synchronizationchaotic systemLyapunov stability theory
Keywords PlusANTI-SYNCHRONIZATIONPROJECTIVE SYNCHRONIZATIONFEEDBACK CONTROLLERNETWORKSOBSERVERDESIGN
Author Information
Corresponding Address
Li, Tianzeng
(corresponding author)
Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Peoples R China
E-mail Addresses
litianzeng@suse.edu.cn
Addresses
1 Sichuan Univ Sci & Engn, Sch Math & Stat, Zigong 643000, Peoples R China
E-mail Addresses
litianzeng@suse.edu.cn
Categories/ Classification
Research AreasMathematics
Citation Topics
9 Mathematics
9.143 Dynamical Systems & Time Dependence
9.143.278 Chaos
Web of Science Categories
Mathematics, Interdisciplinary Applications
Language
English
Accession Number
WOS:000978405500001
eISSN
2504-3110
IDS Number
E9BH2
Journal information
FRACTAL AND FRACTIONAL
eISSN
2504-3110
Current Publisher
MDPIST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND
Research Areas
Mathematics
Web of Science Categories
Mathematics, Interdisciplinary Applications

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