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Adaptive H Synchronization for Chaotic Systems with Unknown Parameters and Time-Delay

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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.
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Document Type: Research Article

Publication date: 2010-12-01

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