Adaptive synchronization of chaotic systems with less measurement and actuation

doi:10.1088/1674-1056/abec33

中国物理B ›› 2021, Vol. 30 ›› Issue (10): 100503-100503.doi: 10.1088/1674-1056/abec33

Adaptive synchronization of chaotic systems with less measurement and actuation

Shun-Jie Li(李顺杰)^1,†, Ya-Wen Wu(吴雅文)¹, and Gang Zheng(郑刚)²

1 School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 201144, China;
2 INRIA Lille-Nord Europe, 40 Avenue Halley, 59650, Villeneuve d'Ascq, France

收稿日期:2021-01-15 修回日期:2021-02-20 接受日期:2021-03-05 出版日期:2021-09-17 发布日期:2021-09-17
通讯作者: Shun-Jie Li E-mail:shunjie.li@nuist.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61573192 and 51875293).

Adaptive synchronization of chaotic systems with less measurement and actuation

Shun-Jie Li(李顺杰)^1,†, Ya-Wen Wu(吴雅文)¹, and Gang Zheng(郑刚)²

1 School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 201144, China;
2 INRIA Lille-Nord Europe, 40 Avenue Halley, 59650, Villeneuve d'Ascq, France

Received:2021-01-15 Revised:2021-02-20 Accepted:2021-03-05 Online:2021-09-17 Published:2021-09-17
Contact: Shun-Jie Li E-mail:shunjie.li@nuist.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61573192 and 51875293).

摘要/Abstract

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.

关键词: chaotic systems, adaptive synchronization, linear matrix inequality

Abstract: 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.

Key words: chaotic systems, adaptive synchronization, linear matrix inequality

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Xt (Synchronization; coupled oscillators) 05.45.Pq (Numerical simulations of chaotic systems)

Shun-Jie Li(李顺杰), Ya-Wen Wu(吴雅文), and Gang Zheng(郑刚). Adaptive synchronization of chaotic systems with less measurement and actuation[J]. 中国物理B, 2021, 30(10): 100503-100503.

Shun-Jie Li(李顺杰), Ya-Wen Wu(吴雅文), and Gang Zheng(郑刚). Adaptive synchronization of chaotic systems with less measurement and actuation[J]. Chin. Phys. B, 2021, 30(10): 100503-100503.

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Adaptive synchronization of chaotic systems with less measurement and actuation

Adaptive synchronization of chaotic systems with less measurement and actuation

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