时变时滞奇异复杂动态网络的间歇控制与同步  

Intermittent control and synchronization of singular complex dynamic networks with time-varying delays

作　　者：王维峰[1] 黄林 梅俊 WANG Weifeng;HUANG Lin;MEI Jun(School of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2024年第1期138-144,共7页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家自然科学基金资助项目(11901584);湖北省自然科学基金资助项目(2023AFC006);中央高校基本科研业务费专项资金资助项目(CZQ22004);中南民族大学数学与统计学学院科研基金资助项目(YZZ19004)。

摘　　要：利用周期性间歇控制策略研究了具有时变时滞的奇异复杂动态网络的指数同步问题.通过构建Lyapunov-Krasovskii泛函,推导出驱动系统和响应系统的指数同步判据;然后运用LMI工具箱求解线性矩阵不等式,得出了控制增益矩阵.最后,利用Runge-Kutta算法求解具有时变时滞微分代数方程,并通过数值仿真验证了结论的有效性.The exponential synchronization problem of singular complex dynamic networks with time-varying delays is studied by using periodic intermittent control strategy.By constructing the Lyapunov-Krasovskii functional,the exponential synchronization criteria for the drive system and the response system are derived.Linear matrix inequalities are solved by using the LMI toolbox to obtain the control gain matrix.Finally,the Runge-Kutta algorithm is used to solve the differential algebraic equations with time-varying delays,and the validity of the conclusions is verified by numerical simulation.

关 键 词：奇异复杂动态网络 时变时滞 周期性间歇控制 LYAPUNOV-KRASOVSKII泛函 

分 类 号：O231[理学—运筹学与控制论]