Adaptive H ∞ Synchronization for Chaotic Systems with Unknown Parameters and Time-Delay
Abstract:This paper proposes a new adaptive H ∞ synchronization method for time-delayed chaotic systems with unknown parameters. Based on Lyapunov-Krasovskii stability theory and linear matrix inequality (LMI) approach, a sufficient condition is derived to ensure that the proposed controller reduces the effect of external disturbance to an H ∞ norm constraint. Moreover, this synchronization controller guarantees the adaptive synchronization of time-delayed chaotic systems when the external disturbance disappears. Finally, a numerical example with its computer simulations is provided to illustrate and verify the effectiveness of the proposed synchronization scheme.
Document Type: Research Article
Publication date: December 1, 2010
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