基于事件相关间歇控制的时滞复杂网络有限时间同步  

Finite-time synchronization of delayed complex network under event-dependent intermittent control

作　　者：王健安 杨泽林[1,2] 王昕 张捷 李明杰 WANG Jian-an;YANG Ze-lin;WANG Xin;ZHANG Jie;LI Ming-jie(Shanxi Key Laboratory of Advanced Control and Equipment Intelligence,Taiyuan 030024,China;School of Electronic Information Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]先进控制与装备智能化山西省重点实验室,太原030024 [2]太原科技大学电子信息工程学院,太原030024

出　　处：《控制与决策》2024年第11期3673-3680,共8页Control and Decision

基　　金：国家自然科学基金项目(62003077);山西省重点研发计划项目(202102020101002,202202150401005);山西省基础研究计划(自由探索类)面上项目(20210302123210,202203021222186);中央引导地方科技发展资金项目(YDZJSX20231A047)。

摘　　要：研究基于事件相关间歇控制机制的时滞复杂网络的有限时间同步问题.设计一种有限时间事件相关的间歇控制机制,引入两个有限时间收敛的边界函数,构建三个非负实数域(工作区域、休息区域、缓冲区域),间歇控制的工作与休息区间取决于Lyapunov函数轨迹与预设区域的关系.相比于现有的事件相关间歇控制,所提出的控制机制具有更快的收敛速度.基于有限时间稳定性理论,给出实现网络有限时间同步的充分条件,并对停息时间进行准确估计.最后通过数值仿真验证理论结果的有效性.This article investigates the finite-time synchronization problem of a delayed complex network based on an event-dependent-intermittent control mechanism.A finite-time event-dependent intermittent control mechanism is designed.Two boundary functions with finite-time convergence characteristics are introduced to construct three non-negative real number domains(workspace domain,rest region,buffer region),and the working and resting intervals of intermittent control depend on the relationship between the Lyapunov function trajectory and the preset region.Compared to existing event-dependent intermittent control,the proposed control mechanism has a faster convergence speed.Some sufficient conditions for achieving finite-time synchronization are given based on finite-time stability theory,and the settling time is accurately estimated.Finally,numerical simulations have verified the effectiveness of theoretical results.

关 键 词：时滞复杂网络 事件相关 间歇控制 有限时间 同步 边界函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]