切换正时滞系统的异步镇定性  

Asynchronous stabilization of switched positive time-delay systems

作　　者：王龙浩 刘婷婷 WANG Longhao;LIU Tingting(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：《智能计算机与应用》2025年第2期128-132,共5页Intelligent Computer and Applications

基　　金：陕西省科技厅自然科学基础研究计划(2021JQ-657)。

摘　　要：本文讨论了带有时滞的离散时间切换正系统的异步镇定性问题。首先,设计一类异步状态反馈控制器,通过构造一类多余正Lyapunov-Krasovskii泛函,利用前向平均驻留时间(FADT)切换信号的概念,得到闭环系统是指数稳定的一个充分条件;其次,基于该定理给出控制器增益的具体形式;最后,给出一个数值例子验证所得结果的有效性。In this paper,the problem of asynchronous stabilization for discrete-time switching positive systems with time delay is discussed.Firstly,a class of asynchronous state feedback controller is designed,by constructing a class of copositive Lyapunov-Krasovski functional,using the concept of forward average dwell time(FADT)switching signal,a sufficient condition is obtained for exponential stability of the closed-loop system.Secondly,the concrete form of controller gain is given based on the theorem.Finally,a numerical example is given to verify the validity of the obtained results.

关 键 词：切换正时滞系统 指数稳定性 前向平均驻留时间 LYAPUNOV-KRASOVSKII泛函 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]