一类中立型时滞互联系统的记忆反馈控制及稳定性条件  

Memory State Feedback Control and Stability Criteria for a Class of Neutral Delay Interconnected Systems

作　　者：赵斐斐[1] 纪洲鹏[1] ZHAO Fei-fei;JI Zhou-peng(Networking Academy,Haikou University of Economics,Haikou 571127,China)

机构地区：[1]海口经济学院网络学院

出　　处：《数学的实践与认识》2019年第18期273-278,共6页Mathematics in Practice and Theory

基　　金：海南省自然科学基金(118MS085)

摘　　要：针对一类中立型时滞互联系统,当滞后时间对系统影响较小时,研究其记忆反馈控制问题.设计记忆反馈控制器,给出新的李雅普诺夫函数,结合自由加权矩阵及牛顿-莱布公式对系统稳定性进行分析,并应用线性矩阵不等式(LMI)给出中立时滞互联系统稳定的充分条件.数值仿真验证了所提控制方法的可行性.The problem of memory feedback control is studied when the time-delay has little effect on the system for a class of neutral interconnected systems with time-delay.A memory feedback controller is designed and a new Lyapunov function is given to analyze the stability of the system by combining the free-weight matrix and the formula of NewtonLeibniz.A sufficient condition for stability of neutral delay interconnected systems is given by linear matrix inequality(LMI).Numerical simulation example is given to illustrate the feasibility of the proposed method.

关 键 词：中立型系统 互联系统 记忆反馈 

分 类 号：O175[理学—数学] TP13[理学—基础数学]