一类具有非线性扰动的分布式中立系统的稳定性判据  

Stability criteria for a class of distributed neutral system with nonlinear perturbations

作　　者：赵斐斐[1] 纪洲鹏[1] ZHAO Feifei;JI Zhoupeng(ZX-YZ Faculty of Network Science,Haikou University of Economics,Haikou 571127,China)

机构地区：[1]海口经济学院中芯依智网络学院,海南海口571127

出　　处：《高师理科学刊》2024年第9期1-5,共5页Journal of Science of Teachers＇College and University

基　　金：海南省自然科学基金面上项目(121MS055)。

摘　　要：针对一类具有非线性扰动的分布式中立系统,设计了状态反馈控制器.根据李雅普诺夫稳定性理论,结合自由加权矩阵及牛顿-莱布尼茨公式对系统进行稳定性分析,并利用线性矩阵不等式给出系统的稳定性判据.数值仿真进一步验证了所提控制方法的有效性.For a class of distributed neutral system with nonlinear perturbations,a state feedback controller is designed.According to Lyapunov stability theory,a stability analysis of the system is performed using a free weighting matrix and Newton-Leibniz formula,and a stability criterion for the system is given using linear matrix inequality.A numerical simulation further verifies the effectiveness of the proposed control method.

关 键 词：中立系统 分布式系统 非线性扰动 线性矩阵不等式 

分 类 号：O231.2[理学—运筹学与控制论]