Adaptive synchronization of GLHS with unknown parameters

YW Wang, LL Guo, D Xiao… - International Journal of …, 2009 - Wiley Online Library
YW Wang, LL Guo, D Xiao, JW Xiao
International Journal of Circuit Theory and Applications, 2009Wiley Online Library
In this paper, an adaptive controller for the synchronization of two generalized Lorenz
hyperchaos systems (GLHSs) is designed by using the Lyapunov method. In the
synchronization schema, the parameters of the drive system are unknown and different from
those of the response system. By introducing update laws for both the control coefficients
and the parameters of the response system, the adaptive controller proposed in this paper is
brand new compared with the former relative works. The proposed adaptive controller is …
Abstract
In this paper, an adaptive controller for the synchronization of two generalized Lorenz hyperchaos systems (GLHSs) is designed by using the Lyapunov method. In the synchronization schema, the parameters of the drive system are unknown and different from those of the response system. By introducing update laws for both the control coefficients and the parameters of the response system, the adaptive controller proposed in this paper is brand new compared with the former relative works. The proposed adaptive controller is feasible for any possible parameters of GLHS. Numerical simulation is carried out to verify and illustrate the analytical result. Copyright © 2008 John Wiley & Sons, Ltd.
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