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针对一类由Lur’e系统组成的具有多种耦合时滞的加权复杂动态网络,研究其同步问题.只对网络中的一部分节点进行控制,从而使整个被控网络达到同步.基于绝对稳定性理论,得到了保证复杂网络实现全局同步的时滞独立判据.仿真中以蔡氏振荡器组成的复杂网络为例,验证了所提方法的有效性,且表明在某些特殊情况下,只需控制一个节点便可使整个网络达到同步.
Aiming at a kind of weighted complex dynamic network with many kinds of coupled delays, which is composed of Lur’e systems, the synchronization problem is studied, and only some nodes in the network are controlled so that the entire controlled network can be synchronized. Based on the absolute stability Theory, we obtain the independent criterion of delay for guaranteeing the global synchronization of complex networks.In the simulation, we take the complex network composed of Chua’s oscillators as an example to verify the effectiveness of the proposed method and show that in some special cases, Control a node can make the entire network to achieve synchronization.