| 引用本文: | 刘景琳,冯明库.基于非线性牵制控制的分数阶混沌网络聚同步[J].控制理论与应用,2015,32(7):942~948.[点击复制] |
| LIU Jing-lin,FENG Ming-ku.Cluster synchronization in fractional-order chaotic network via nonlinear pinning control[J].Control Theory and Technology,2015,32(7):942~948.[点击复制] |
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| 基于非线性牵制控制的分数阶混沌网络聚同步 |
| Cluster synchronization in fractional-order chaotic network via nonlinear pinning control |
| 摘要点击 2423 全文点击 1132 投稿时间：2014-10-08 修订日期：2015-04-23 |
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| DOI编号 10.7641/CTA.2015.40935 |
| 2015,32(7):942-948 |
| 中文关键词 聚同步 分数阶系统稳定性理论 复杂网络 牵制控制 |
| 英文关键词 cluster synchronization the stability theory of fractional-order systems complex network pinning control |
| 基金项目 广东省科技计划项目(2011B080701092, 2012B091100441), 国家自然科学基金项目(61271117)资助. |
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| 中文摘要 |
| 针对分数阶混沌复杂网络, 提出一种非线性牵制控制策略实现网络聚同步. 根据网络结点的不同属性, 只对群间点施加非线性控制, 然后基于分数阶系统稳定性理论, 给出了实现聚同步的充分条件. 数值仿真验证了该聚同步方案的有效性和正确性, 同时深入讨论了控制增益和耦合强度等对聚同步的影响. |
| 英文摘要 |
| For a fractional-order complex chaotic network, we propose a nonlinear pinning control strategy to make the network achieve cluster synchronization. According to the different property of the nodes, nonlinear controllers are applied to inter-act node only. Then, based on the stability theory of fractional-order systems, a sufficient condition for the stability of cluster synchronization is derived. A numerical simulation is carried out to validate the effectiveness and correctness of the proposed scheme. Furthermore, the influence on the cluster synchronization by control gain and coupling strength is also discussed. |