Exponential Synchronization of Hybrid Coupled Networks With Delayed Coupling
Exponential Synchronization of Hybrid Coupled Networks With Delayed Coupling
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DOI：
10.1109/tnn.2009.2039803
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发表时间：
2010-04
影响因子：
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通讯作者：
Wangli He;Jinde Cao
中科院分区：
文献类型：
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作者：
Wangli He;Jinde Cao
本文研究了由常数耦合和离散延迟耦合组成的混合耦合网络的指数同步问题。在延迟耦合中只有一个传输延迟。事实上，在信号传输过程中，时间延迟只影响从一个系统传输到另一个系统的变量，那么假设只有一个单一的延迟对动力学有贡献是有意义的。基于Lyapunov泛函和线性矩阵不等式（LMI），导出了同步的几个充分条件。特别地，耦合矩阵可以是非对称的或非对角的。此外，传输延迟可以与隔离系统中的传输延迟不同。这项工作的一个显著特点是，与传统的同步解决方案相比，同步状态将有所不同。特别是节点的大小和内部延迟耦合矩阵对同步状态的影响很大。最后，将混沌神经网络作为两个正则网络的节点，以验证所提准则的有效性。
This paper investigates exponential synchronization of coupled networks with hybrid coupling, which is composed of constant coupling and discrete-delay coupling. There is only one transmittal delay in the delayed coupling. The fact is that in the signal transmission process, the time delay affects only the variable that is being transmitted from one system to another, then it makes sense to assume that there is only one single delay contributing to the dynamics. Some sufficient conditions for synchronization are derived based on Lyapunov functional and linear matrix inequality (LMI). In particular, the coupling matrix may be asymmetric or nondiagonal. Moreover, the transmittal delay can be different from the one in the isolated system. A distinctive feature of this work is that the synchronized state will vary in comparison with the conventional synchronized solution. Especially, the degree of the nodes and the inner delayed coupling matrix heavily influence the synchronized state. Finally, a chaotic neural network is used as the node in two regular networks to show the effectiveness of the proposed criteria.