2个时滞复杂动态网络的广义同步

Generalized Synchronization Between Two Different Complex Delayed Networks

针对2个不同节点和不同拓扑结构的时滞复杂动态网络,研究2个网络之间的广义同步问题.基于驱动-响应同步策略,对其中的一个网络施加控制,运用连续系统的Lyapunov稳定性分析方法,得到相应的广义同步判据.以某产品的生产者和该产品的消费者作为2个网络的动态节点,验证方法有效性.结果表明,通过设计满足广义同步判据的控制器,可以实现2个不同网络之间的广义同步.

The problem of generalized synchronization between two different networks was investigated,and these two networks consist of different nodes and different topological structures. Based on the drive-response strategy,the corresponding synchronization criterion was given via the Lyapunov stability scheme. A numerical example was cited to show the effectiveness of the proposed method. In the numerical example,the producer and the consumer were adopted in the driven network and the response network,respectively. It is shown that these two networks can achieve the generalized synchronization when the designed controller satisfies the proposed criterion.