Synchronization of a Class of Chaotic Systems with Different Dimensions | Zendy

Jiming Zheng | Zendy; Juan Li | Zendy

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Synchronization of a Class of Chaotic Systems with Different Dimensions

Author(s) -

Jiming Zheng,

Juan Li

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/6666677

Subject(s) - synchronization (alternating current) , synchronization of chaos , control theory (sociology) , lyapunov stability , chaotic systems , chaotic , computer science , controller (irrigation) , class (philosophy) , adaptive control , scaling , stability (learning theory) , lyapunov exponent , lyapunov function , mathematics , control (management) , nonlinear system , artificial intelligence , physics , computer network , channel (broadcasting) , geometry , quantum mechanics , machine learning , agronomy , biology

In this paper, two scaling matrices are used to research the synchronization of different dimensional chaotic systems with unknown parameters. Firstly, the definition of synchronization of chaotic systems with different dimensions is introduced. Secondly, based on Lyapunov stability theorem and adaptive control method, an adaptive feedback hybrid controller and parameter adaptive laws are designed to realize synchronization of uncertain chaotic systems with different dimensions. Finally, three numerical experiments are carried out to verify the effectiveness of the proposed method.

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