基于牵制触发控制动态网络的有限时间镇定  

Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control

作　　者：赵玮 任凤丽[1] ZHAO Wei;REN Fengli(School of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,P.R.China)

机构地区：[1]南京航空航天大学数学学院,南京211106

出　　处：《应用数学和力学》2025年第3期382-393,共12页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(61104031)。

摘　　要：该文研究了基于牵制触发控制动态网络的有限时间镇定.不同于已有结果有限时间事件触发镇定,考虑到控制成本和控制大规模节点数目的困难性,提出了牵制自适应事件触发控制保证动态网络的有限时间镇定.由于动态网络系统存在维数高的问题,分析牵制事件触发有限时间镇定相当困难.通过设计恰当的协议,借助Lyapunov稳定性理论,得到了动态耦合网络有限时间镇定的充分性条件.最后,通过数值仿真验证了定理的有效性.The finite time stabilization problem of dynamical directed networks under pinning adaptive event-triggered control was addressed.Unlike the existing results as for finite time stabilization with event-triggered protocol,in view of the difficulties of the control cost and the large node number,a novel pinning event-triggered protocol was designed.Given its high dimension,the analysis of the finite time stabilization under the pinning event-triggered control for dynamical networks is challenging.Based on the Lyapunov stability theory and the appropriately designed protocol,sufficient conditions were derived to guarantee the finite time stabilization.Finally,an example was given to demonstrate the effectiveness of the theoretical results.

关 键 词：动态耦合网络 有限时间镇定 牵制控制 事件触发机制 

分 类 号：O357.41[理学—流体力学]