4.4 Article

Adaptive synchronization of GLHS with unknown parameters

Journal

Publisher

WILEY
DOI: 10.1002/cta.515

Keywords

adaptive control; chaos synchronization; generalized Lorenz hyperchaos system; Lyapunov method

Funding

  1. National Natural Science Foundation of China [60704035, 60603006, 60628301]
  2. Hubei Province Foundation [2007ABA222]

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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 (C) 2008 John Wiley & Sons, Ltd.

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