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论文题目：Fixed-Time Multi-Switch Combined–Combined Synchronization of Fractional-Order Chaotic Systems with Uncertainties and External Disturbances 链接： https://www.mdpi.com/2504-3110/7/4/281 |
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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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