Adaptive Feedback Synchronization of a General Complex Dynamical Network With Delayed Nodes

Adaptive Feedback Synchronization of a General Complex Dynamical Network With Delayed Nodes
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DOI:
10.1109/tcsii.2007.911813
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发表时间:
2008-02
期刊:
IEEE Transactions on Circuits and Systems II: Express Briefs
影响因子:
--
通讯作者:
Qunjiao Zhang;Jun-an Lu;Jinhui Lu;Chi K. Tse
Qunjiao Zhang;Jun-an Lu;Jinhui Lu;Chi K. Tse
中科院分区:
其他
文献类型:
--
作者:
Qunjiao Zhang;Jun-an Lu;Jinhui Lu;Chi K. Tse

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在过去的十年中,复杂的网络引起了科学和工程领域的广泛关注。同步是复杂网络的典型集体行为,近年来已经对其进行了广泛研究。为了揭示复杂网络中随时间延迟同步的动力学机制,进一步研究了具有延迟节点的一般复杂动力网络。基于合适的模型,我们研究了自适应反馈同步,并获得了几个新的新标准,以实现全球指数的渐近同步。特别是,我们的假设和提议的用于网络同步的自适应控制器非常简单,并且可以轻松地应用于实际应用中。最后,提供了数值模拟来说明所提出的同步标准的有效性。
In the past decade, complex networks have attracted much attention from various fields of sciences and engineering. Synchronization is a typical collective behavior of complex networks that has been extensively investigated in recent years. To reveal the dynamical mechanism of synchronization in complex networks with time delays, a general complex dynamical network with delayed nodes is further studied. Based on a suitable model, we investigate the adaptive feedback synchronization and obtain several novel criteria for globally exponentially asymptotic synchronization. In particular, our hypotheses and the proposed adaptive controllers for network synchronization are very simple and can be readily applied in practical applications. Finally, numerical simulations are provided to illustrate the effectiveness of the proposed synchronization criteria.