Robust H_∞ cluster synchronization analysis of Lurie dynamical networks |
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作者姓名: | 郭凌 年晓红 潘欢 邴志桐 |
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基金项目: | Project supported by the National Natural Science Foundation of China(Grant Nos.61075065,60774045,and U1134108);the Talent Introduction Scientific Research Foundation of Northwest University for Nationalities(Grant No.xbmuyjrc201304);the Foundation for Young Talents of Gansu Province,China(Grant No.1208RJYA013) |
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摘 要: | The cluster synchronization problem of complex dynamical networks with each node being a Lurie system with exter- nal disturbances and time-varying delay is investigated in this paper. Some criteria for cluster synchronization with desired H∞ performance are presented by using a local linear control scheme. Firstly, sufficient conditions are established to realize cluster synchronization of the Lurie dynamical networks without time delay. Then, the notion of the cluster synchronized region is introduced, and some conditions guaranteeing the cluster synchronized region and unbounded cluster synchro- nized region are derived. Furthermore, the cluster synchronization and cluster synchronized region in the Lurie dynamical networks with time-varying delay are considered. Numerical examples are finally provided to verify and illustrate the theoretical results.
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关 键 词: | 动态网络 同步分析 Lurie型控制系统 鲁棒 聚类 时变时滞 群同步 同步问题 |
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