钉住控制下非延迟和延迟耦合复杂网络的集群同步

2012 Eighth International Conference on Computational Intelligence and Security Pub Date : 2012-11-17 DOI:10.1109/CIS.2012.45

Ze Tang, Jianwen Feng, Yi Zhao

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引用次数: 0

摘要

研究了一类具有非延迟耦合和延迟耦合的一般网络的集群同步问题。在线性负反馈控制方案的基础上，利用Lyapunov稳定性定理和线性矩阵不等式(LMI)得到了保证所有初始值的集群同步模式实现的充分条件。此外，还通过数值模拟验证了理论结果的有效性。

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Cluster Synchronization of Complex Networks with Non-delayed and Delayed Coupling under Pinning Control

In this paper, we focus on the cluster synchronization problem of a general network with non-delayed and delayed coupling. Based on the linear negative feedback control scheme, we use the Lyapunov stability theorem and linear matrix inequality (LMI) to obtain sufficient conditions which guarantee the realization of the cluster synchronization pattern for all initial values. Besides, numerical simulation is also given to support the validity of our theoretical results.

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2012 Eighth International Conference on Computational Intelligence and Security

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