离散切换正时变时滞系统的有限时间稳定与l_(1)滤波  

Finite-time stability and l_(1) filtering of discrete switched positive systems with time-varying delay

作　　者：路俊影 刘婷婷 安夏伶 LU Junying;LIU Tingting;AN Xialing(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）》2024年第1期31-38,54,共9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：讨论了一类离散切换正时变时滞系统的有限时间稳定性及其l_(1)滤波问题.首先,通过构造一类合适的李亚普诺夫函数,建立了模型依赖平均驻留时间(MDADT)下的离散切换正时变时滞系统的有限时间稳定性的判定条件;然后,基于所得结论设计了一个滤波器,并给出了滤波误差系统是有限时间稳定的且具有1滤波的充分条件;最后,利用两个算例验证了所得结论的有效性.The finite time stability and l_(1),filtering problem of discrete switching positive time-varying delayed systems are discussed.First,by constructing a class of Lyapunov function,some criteria for the finite-time stability of discrete switching positive systems wih time-varying delay are established under mode dependent average dwell time(MDADT):Then,a filter is designed based on the obtained conclusions,and sufficient conditions is estiblished that the filtering error system is finite time stable and exhibit an lfiltering;Finally,two numerical examples are proved the validity of the obtained conclusions.

关 键 词：离散切换正时变时滞系统 模依赖平均驻留时间 有限时间稳定 l_(1)滤波 

分 类 号：O231.1[理学—运筹学与控制论]