线性常时滞时变系统的有限时间稳定性分析  

Finite-Time Stability Analysis of Time-Varying Linear System with Constant Delay

作　　者：陈珂 张丽霞 孙敏慧[1] Chen Ke;Zhang Lixia;Sun Minhui(School of Mathematical Sciences,Ocean University of China,Qingdao 266100,China)

机构地区：[1]中国海洋大学数学科学学院,山东青岛266100

出　　处：《中国海洋大学学报（自然科学版）》2023年第12期163-168,共6页Periodical of Ocean University of China

基　　金：国家自然科学基金项目(11701537);山东省自然科学基金项目(ZR2019MF027)资助。

摘　　要：本文研究了一类线性常时滞时变系统的有限时间有界与输入-输出有限时间稳定性问题,通过构造Lyapunov泛函,并利用时变的矩阵不等式,分别获得了线性常时滞时变系统的有限时间有界和输入-输出有限时间稳定的充分条件。同时,设计了状态反馈控制器,使得闭环系统有限时间有界且输入-输出有限时间稳定,并通过仿真算例验证了本文方法的有效性。In this paper,we discuss the finite-time boundedness and input-output finite time stability problems of time-varying linear system with constant delay.By constructing Lyapunov functional and using the time-varying matrix inequality,sufficient conditions are given for the finite-time boundedness and the input-output finite-time stability of time-varying linear system with constant delay.At the same time,the corresponding state feedback controller is designed to make the closed-loop system finite-time bounded and input-output finite-time stable.Finally,a simulation example is provided to verify the feasibility and effectiveness of the proposed method.

关 键 词：线性时滞系统 输入-输出有限时间稳定 时变矩阵不等式 LYAPUNOV函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]