4.6 Article

Adaptive Synchronization for Hyperchaotic Liu System

Journal

FRONTIERS IN PHYSICS
Volume 9, Issue -, Pages -

Publisher

FRONTIERS MEDIA SA
DOI: 10.3389/fphy.2021.812048

Keywords

chaos synchronization; hyperchaotic liu system; adaptive control; barlalat's lemma; lyapunov stability theory

Funding

  1. Natural Science Foundation of China [61573192]

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This paper investigates the adaptive control design for chaos synchronization of two identical hyperchaotic Liu systems. An adaptive control law with two inputs is proposed based on Lyapunov stability theory, and two other control schemes are obtained through further analysis of the proposed adaptive control law. Numerical simulations are presented to validate the effectiveness and correctness of these results.
In this paper, the adaptive control design is investigated for the chaos synchronization of two identical hyperchaotic Liu systems. First, an adaptive control law with two inputs is proposed based on Lyapunov stability theory. Secondly, two other control schemes are obtained based on a further analysis of the proposed adaptive control law. Finally, numerical simulations are presented to validate the effectiveness and correctness of these results.

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