线性时变时滞切换系统的区间指数稳定/镇定  

Interval Exponential Stability/Stabilization for Linear Time-Varying Delay Switched Systems

作　　者：戴玉真 张化生[1] DAI Yuzhen;ZHANG Huasheng(School of Mathematical Sciences,Liaocheng University,Liaocheng 252059,China)

机构地区：[1]聊城大学数学科学学院,山东聊城252059

出　　处：《聊城大学学报（自然科学版）》2024年第5期18-28,共11页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目(62373178);山东省自然科学基金项目(ZR2022MF293)资助。

摘　　要：研究了线性时变时滞切换系统的区间指数稳定与镇定问题,重点研究了收敛速度的反映与调整。首先,基于系统矩阵与线性时变时滞切换系统稳定性的关系,提出区间指数稳定性的定义。基于平均驻留时间法,给出了区间指数稳定性的一个新判据。然后,通过新的控制器设计方法,使控制器既能保证系统指数稳定又能约束系统的收敛速度。最后,通过数值算例和RLC电路验证了所提方法的有效性。The problem of the interval exponential stability and stabilization for linear switched time-varying delay systems is examined,which is focus on the reflection and adjustment of convergence rates.Firstly,based on the relationship between system matrices and linear time-varying delay switched systems stability,the definition of interval exponential stability is proposed.A new criterion for the stability of the interval exponential based on the average dwell time method is provided.Then,by the new controller design method,the controller can not only ensure exponential stabilization but also constrain the convergence rate of the system.Finally,the validation of the mentioned method is checked by two examples.

关 键 词：收敛速度约束 区间指数稳定 线性时变时滞切换系统 任意切换 区间指数镇定 

分 类 号：O231[理学—运筹学与控制论]