Improved results on reachable set estimation for singularly perturbed systems with time-varying delay

被引：1
|
作者：
Wang, Jiawang [1 ]
Zhang, Liang [1 ]
Zhao, Xudong [2 ]
Zhao, Ning [1 ]
机构：
[1] Bohai Univ, Coll Engn, Jinzhou 121013, Liaoning, Peoples R China
[2] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Liaoning, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2024年 / 361卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Singularly perturbed systems; Linear matrix inequalities; Time-varying delay; Reachable set; SLIDING-MODE CONTROL; H-INFINITY CONTROL; STABILITY;
D O I：
10.1016/j.jfranklin.2023.11.040
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The problem of reachable set estimation for singularly perturbed systems with time-varying delays and bounded perturbation is studied in this paper. Firstly, a Lyapunov-Krasovskii function related to the perturbed parameter ������ is established. Secondly, introducing a method of integral inequality scaling and eliminated the influence of singularly perturbed parameter on the system within a certain range. The system state is therefore contained in a ������-independent ellipsoid in accordance with a criterion imposed by linear matrix inequalities. Subsequently, examples are used to show that the findings are valid.
引用
收藏
页码：125 / 134
页数：10
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