Estimation of reachable set for switched singular systems with time-varying delay and state jump

被引：13

作者：

Feng, Zhiguang ^{[1
]}

Zhang, Xinyue ^{[1
]}

Lam, James ^{[2
]}

Fan, Chenchen ^{[2
]}

机构：

[1] Harbin Engn Univ, Coll Intelligent Syst Sci & Engn, Harbin 150001, Peoples R China

[2] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 456卷

基金：

中国国家自然科学基金;

关键词：

Reachable set; Switched systems; Singular systems; State jump; Time-varying delay; STABILITY ANALYSIS; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1016/j.amc.2023.128132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 an-alyzing the variation of piecewise continuous functional in subintervals and referencing the definition of the average dwell-time. Afterwards, using lemmas and linear matrix in-equalities, 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.(c) 2023 Elsevier Inc. All rights reserved.

引用

页数：12

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