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

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。

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.