基于端节点部分分量辅助的星型网络中央节点跟踪控制
Central Node Tracking Control of Star Networks via Partial Components Assistance of Terminal Nodes
DOI: 10.12677/AAM.2024.132057, PDF,    科研立项经费支持
作者: 李 璟*, 张丽丽：广东工业大学数学与统计学院，广东 广州
关键词: 星型复杂动态网络；中央节点；跟踪控制；不同维数；Star Complex Dynamical Network； Central Node； Tracking Control； Different Dimensions
摘要: 讨论了一类星型复杂动态网络通过端节点的部分分量辅助中央节点实现中央节点的跟踪控制问题。此类星型网络由具有不同状态维数的节点构成，控制器仅施加于中央节点上。在给定中央节点跟踪目标的情况下，为端节点设计辅助跟踪目标，并结合控制理论和稳定性理论，提出自适应控制策略使星型网络的中央节点在控制作用下实现跟踪。所提出的跟踪控制策略的有效性和正确性，既从理论上进行了严格证明，也通过数值仿真进行了验证。
Abstract: The tracking control of the central node assisted by the partial components of the terminal nodes for a class of star complex dynamical networks is discussed in this paper. The star network in this paper consists of nodes with different state dimensions, and the controller is applied only on the central node. Given the tracking target of the central node, the auxiliary tracking targets are de-signed for the terminal nodes and the adaptive control strategy is proposed to guarantee the cen-tral node of the star network realizing tracking based on the control theory and stability theory. The validity and correctness of the proposed tracking control strategy are rigorously proved theoreti-cally and also verified by numerical simulations.
文章引用：李璟, 张丽丽. 基于端节点部分分量辅助的星型网络中央节点跟踪控制[J]. 应用数学进展, 2024, 13(2): 589-598. https://doi.org/10.12677/AAM.2024.132057

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