Adaptive control and synchronization of an uncertain new hyperchaotic Lorenz system |
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Authors: | Cai Guo-Liang Zheng Song and Tian Li-Xin |
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Institution: | Nonlinear Scientific Research Center, Jiangsu University,
Zhenjiang
212013, China |
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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. |
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Keywords: | hyperchaotic Lorenz system control synchronization Lyapunov stability theory |
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