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
赵斐斐 1纪洲鹏1
作者信息
- 1. 海口经济学院 中芯依智网络学院,海南 海口 571127
- 折叠
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.
Abstract
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Key words
neutral system/distributed system/nonlinear perturbations/Linear matrix inequality引用本文复制引用
基金项目
海南省自然科学基金面上项目(121MS055)
出版年
2024