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基于连接关系动态的复杂网络外同步控制

Outer synchronization control for complex network based on connection relationship dynamics
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摘要 针对两个复杂动态网络,在驱动网络内部动态和连接关系均有界未知的情况下,本文借助于给定的外部辅助矩阵信号,为响应网络构造了相应的动态连接关系和节点自适应控制器,实现了驱动网络与响应网络间的外同步.与现有文献相比,本文所构造的控制策略不仅保证了驱动网络与响应网络之间对应节点的状态渐近趋同,而且还保证了响应网络的连接拓扑矩阵渐近趋向给定的外部辅助矩阵信号,这意味着在驱动网络与响应网络间实现了外同步的同时,响应网络的最终拓扑能够按照事先指定的方式呈现.最后,通过数值仿真验证了本文的有效性. In this paper,we construct the corresponding dynamic connection relationship and the nodes′adaptive controller for the response network with the help of the given external auxiliary matrix signal to achieve the outer synchronization between the drive network and the response network when the internal dynamics and the connection relationship of the drive network are both bounded and unknown.Compared with the existing literature,the control strategy constructed in this paper not only ensures the asymptotic convergence between the corresponding nodes of the driver network and the response network,but also ensures that the connection topology matrix of the response network asymptotically converges to the given external auxiliary matrix signal,which means that the final topology of the response network can be presented in a manner specified in advance while the outer synchronization between the driver network and the response network is achieved.Finally,the validity of this paper is verified by the numerical simulation.
作者 陈金彪 王银河 汤晓 CHEN Jin-biao;WANG Yin-he;TANG Xiao(School of Automation,Guangdong University of Technology,Guangzhou 510006,China;Guangzhou Argion Electric Appliance Co.,Ltd.,Guangzhou 510006,China)
出处 《陕西科技大学学报》 北大核心 2023年第6期208-214,共7页 Journal of Shaanxi University of Science & Technology
基金 国家自然科学基金项目(61673120)。
关键词 复杂动态网络 驱动网络 响应网络 外同步 动态连接关系 外部辅助矩阵信号 complex dynamic networks drive network response network outer synchronization dynamic connection relationship external auxiliary matrix signal
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