Prediction of chaotic behavior
Prediction of chaotic behavior
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DOI：
10.1109/tcsi.2005.853396
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发表时间：
2005-11
期刊：
影响因子：
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通讯作者：
T. Oguchi;H. Nijmeijer
中科院分区：
文献类型：
--
作者：
T. Oguchi;H. Nijmeijer
本文考虑了利用主从同步方案预测混沌行为。基于时滞系统的稳定性理论，利用Lyapunov-Krasovskii泛函，得到了通过从系统的时滞输出信号实现主系统完美状态预测的充分条件.所得到的结果是基于时滞系统的时滞相关稳定性。此外，我们还利用线性矩阵不等式技巧得到了容许时滞的一个上界。最后，我们通过两个数值例子证明了所提出的预测器的有效性。
This paper considers the prediction of chaotic behavior using a master-slave synchronization scheme. Based on the stability theory for retarded systems using a Lyapunov-Krasovskii functional, we derive a sufficient condition for perfect state prediction of the master system via a time-delayed output signal of the slave system. The obtained result is based on the delay-dependent stability of time-delay systems. In addition, we derive an upper bound of the admissible time delay by using linear matrix inequality techniques. Finally, we show the effectiveness of the proposed predictor by two numerical examples.