切换正时滞系统在可容许边依赖平均驻留时间下的稳定性和镇定性  

Stability and stabilization for switched positive time-delay systems under an admissible edge-dependent average dwell time method

作　　者：安夏伶 刘婷婷 路俊影 AN Xialing;LIU Tingting;LU Junying(School of Sciences,Xi'an Polytechnic University,Xi'an 710048,China)

机构地区：[1]西安工程大学理学院,西安710048

出　　处：《延边大学学报（自然科学版）》2023年第3期203-208,222,共7页Journal of Yanbian University（Natural Science Edition）

基　　金：陕西省科技厅自然科学基础研究计划项目(2021JQ-657)。

摘　　要：讨论了一类切换正时滞系统的稳定性和镇定性.首先,通过构造多元共正李雅普诺夫泛函,得到了切换正时滞系统在可容许边依赖平均驻留时间(AED-ADT)切换信号下的有限时间稳定的充分条件;其次,设计了一类状态反馈控制器,并给出了闭环系统在AED-ADT切换信号下具有有限时间稳定的判据.最后,利用两个算例验证了所得结果的正确性.The stability and stabilization of the switched positive systems with delays were discussed.Firstly,by constructing the multiple copositive Lyapunov functional,a sufficient condition for finite-time stability of switched positive systems with delays under admissible edge-dependent average dwell time(AED-ADT)switching signals was obtained.Secondly,a family of state feedback controllers are designed,and the finite time stability criterion of the closed loop system under AED-ADT was given.Finally,two numerical examples were used to verify the validity of the developed results.

关 键 词：切换正时滞系统 李雅普诺夫泛函 可容许边依赖平均驻留时间 有限时间稳定性 镇定性 

分 类 号：O231.1[理学—运筹学与控制论]