Global Synchronization of General Delayed Dynamical Networks

Global Synchronization of General Delayed Dynamical Networks
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通用时滞动态网络的全局同步

DOI:
10.1088/0256-307x/24/7/022
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发表时间:
2007-07
影响因子:
3.5
通讯作者:
--
中科院分区:
物理与天体物理3区
文献类型:
--
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研究了一般线性耦合时滞动力网络的全局同步问题。利用线性矩阵不等式,引入参考态,得到了系统全局同步的充分条件。这个条件是根据网络耦合矩阵的最大非零本征值给出的。此外,我们还说明了如何构造耦合矩阵来保证网络的全局同步,使用起来非常方便。最后,以一个二维时滞系统作为全局耦合网络中的动态节点,验证了所提出的全局同步方案的理论结果。
Global synchronization of general delayed dynamical networks with linear coupling are investigated. A sufficient condition for the global synchronization is obtained by using the linear matrix inequality and introducing a reference state. This condition is simply given based on the maximum nonzero eigenvalue of the network coupling matrix. Moreover, we show how to construct the coupling matrix to guarantee global synchronization of network, which is very convenient to use. A two-dimension system with delay as a dynamical node in network with global coupling is finally presented to verify the theoretical results of the proposed global synchronization scheme.
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