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
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.
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61573192 and 51875293).
Corresponding Authors:
Shun-Jie Li
E-mail: shunjie.li@nuist.edu.cn
Cite this article:
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 2021 Chin. Phys. B 30 100503
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