New exponentially weighted inequality and its application to finite-time stability of descriptor time-delay systems

被引：0
|
作者：
Jia, Yusheng [1 ]
Lin, Chong [1 ]
机构：
[1] Qingdao Univ, Inst Complex Sci, Sch Automat, Shandong Key Lab Ind Control Technol, Qingdao 266071, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 154卷
基金：
中国国家自然科学基金;
关键词：
Finite-time stability; Descriptor time-delay systems; Weighted integral inequality; Lyapunov-like functional; STABILIZATION;
D O I：
10.1016/j.aml.2024.109092
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper considers the finite-time stability of descriptor time-delay systems. Firstly, we establish a set of exponentially weighted orthogonal polynomials, and based on this, we obtain a new exponentially weighted inequality(EWI). Secondly, an augmented Lyapunov-like functional (LLF) is established driven by the presented EWI. Finally, by applying the EWI and the LLF, some sufficient conditions for ensuring the finite-time stability of the system are obtained. A small partial element equivalent circuit model and two numerical examples are used to verify the effectiveness of the method.
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页数：6
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