数学
有界函数
外稃(植物学)
跳跃
国家(计算机科学)
停留时间
分段
集合(抽象数据类型)
跳跃式监视
弹道
控制理论(社会学)
应用数学
数学分析
计算机科学
算法
医学
生态学
临床心理学
物理
禾本科
控制(管理)
量子力学
天文
人工智能
生物
程序设计语言
作者
Zhiguang Feng,Xinyue Zhang,James Lam,Chenchen Fan
标识
DOI:10.1016/j.amc.2023.128132
摘要
This paper addresses the estimation problem of the reachable set for switched singular systems with state jump under initial condition and bounded peak disturbance. The aim is to determine a bounded set that contains all reachable states. Initially, a state jump lemma is presented for switched singular systems. Then, a new bounding lemma is shown by analyzing the variation of piecewise continuous functional in subintervals and referencing the definition of the average dwell-time. Afterwards, using lemmas and linear matrix inequalities, sufficient conditions are derived for switched singular systems with and without time-varying delay, which ensure that the state trajectory of the system remains within a closed bounded set. Finally, the obtained results are validated through numerical examples.
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