边界控制下耦合时空网络的固定时间同步
Fixed-Time Synchronization of Coupled Spatio-Temporal Networks under Boundary Control
DOI: 10.12677/PM.2021.114067, PDF,   
作者: 史婷婷, 于 娟：新疆大学数学与系统科学学院，新疆 乌鲁木齐
关键词: 反应扩散；同步；固定时间；边界控制；Reaction-Diffusion； Synchronization； Fixed-Time； Boundary Control
摘要: 本文主要探讨边界控制下耦合时空网络的固定时间同步问题。首先提出了一类带有状态耦合和空间扩散耦合的时空网络模型，且该模型满足混合边界条件。其次，通过设计不包含线性反馈项的边界控制器，利用一些不等式技巧和Lyapunov稳定性理论，建立了耦合时空网络的固定时间同步准则。最后，通过一个模拟算例验证了所得结果的正确性。
Abstract: In this paper, the fixed-time synchronization of coupled spatio-temporal network is concerned via boundary control. Firstly, a type of coupled spatio-temporal networks with mixed boundary con-ditions is introduced, in which the coupling term is composed of state coupling and spatial diffusion coupling. Secondly, by designing a boundary controller without a linear feedback term, some inequality techniques and Lyapunov theory are utilized, verifiable criteria are established to as-certain the fixed-time synchronization of coupled spatio-temporal networks. Finally, the effec-tiveness of the derived results is supported by an example with a numerical example.
文章引用：史婷婷, 于娟. 边界控制下耦合时空网络的固定时间同步[J]. 理论数学, 2021, 11(4): 539-551. https://doi.org/10.12677/PM.2021.114067

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