Abstract This paper is involved with the adaptive control and synchronization problems for an uncertain new hyperchaotic Lorenz system. Based on the Lyapunov stability theory, the adaptive control law is derived such that the trajectory of hyperchaotic Lorenz system with unknown parameters can be globally stabilized to an unstable equilibrium point of the uncontrolled system. Furthermore, an adaptive control approach is presented to the synchronizations between two identical hyperchaotic systems, particularly between two different uncertain hyperchaotic systems. Numerical simulations show the effectiveness of the presented method.
Received: 22 November 2007
Revised: 03 January 2008
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 70571030 and
90610031) and the Advanced Talent Foundation of Jiangsu University
of China (Grant No
07JDG054).
Cite this article:
Cai Guo-Liang(蔡国梁), Zheng Song(郑松), and Tian Li-Xin(田立新) Adaptive control and synchronization of an uncertain new hyperchaotic Lorenz system 2008 Chin. Phys. B 17 2412
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