Adaptive synchronization of chaotic systems with less measurement and actuation*

被引：4

作者：

Li, Shun-Jie ^{[1
]}

Wu, Ya-Wen ^{[1
]}

Zheng, Gang ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Sch Math & Stat, Nanjing 201144, Peoples R China

[2] INRIA Lille Nord Europe, 40 Ave Halley, F-59650 Villeneuve Dascq, France

来源：

CHINESE PHYSICS B | 2021年 / 30卷 / 10期

基金：

中国国家自然科学基金;

关键词：

chaotic systems; adaptive synchronization; linear matrix inequality; FEEDBACK; CONTROLLER; OBSERVER;

D O I：

10.1088/1674-1056/abec33

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate the synchronization problem between identical chaotic systems only when necessary measurement (output) and actuation (input) are needed to be implemented by the adaptive controllers. A sufficient condition is derived based on the Lyapunov stability theory and Schur complementary lemma. Moreover, the theoretic result is applied to the Rikitake system and the hyperchaotic Liu system to show its effectiveness and correctness. Numerical simulations are presented to verify the results.

引用

页数：5

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