Adaptive H_∞ Anti-Synchronization for Time-Delayed Chaotic Neural Networks(General and Mathamatical Physics)

概要

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In this paper, an adaptive H_∞ control scheme is developed to study the anti-synchronization behavior of time-delayed chaotic neural networks with unknown parameters. This adaptive H_∞ anti-synchronization controller is designed based on Lyapunov-Krasovskii theory and an analytic expression of the controller with its adaptive laws of parameters is shown. The proposed synchronization method guarantees the asymptotical anti-synchronization of drive and response systems. Furthermore, this method reduces the effect of external disturbance to an H_∞ norm constraint. The proposed controller can be obtained by solving a linear matrix inequality (LMI) problem. An illustrative example is given to demonstrate the effectiveness of the proposed method.
2009-12-25