Two relaxed quadratic function negative-determination lemmas: Application to time-delay systems

被引：17

作者：

Liu, Fang ^{[1
]}

Liu, Haitao ^{[1
]}

Li, Yong ^{[2
]}

Sidorov, Denis ^{[3
]}

机构：

[1] Cent South Univ, Sch Automat, Changsha 410083, Peoples R China

[2] Hunan Univ, Coll Elect & Informat Engn, Changsha 410082, Peoples R China

[3] Russian Acad Sci, Energy Syst Inst, Siberian Branch, Irkutsk 664033, Russia

来源：

AUTOMATICA | 2023年 / 147卷

基金：

中国国家自然科学基金; 俄罗斯科学基金会;

关键词：

Time-delay system; Stability analysis; Quadratic function negative-determination  lemmas; DEPENDENT STABILITY-CRITERIA; ROBUST STABILITY; INEQUALITY APPLICATION; INTEGRAL INEQUALITY; NEURAL-NETWORKS; LINEAR-SYSTEMS; IMPROVEMENT;

D O I：

10.1016/j.automatica.2022.110697

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Complicated construction of Lyapunov-Krasovskii functional (LKF) makes the quadratic correlation terms of time-delay appear in its derivative. This paper proposes two relaxed negative-determination lemmas to deduce the negative definite condition of a quadratic function with respect to a time-varying delay, which contain some popularly lemmas as their special cases. Combining a novel augmented LKF and generalized free-matrix-based integral inequality (GFMBII), the developed lemmas are respectively applied to derive the stability criteria for nominal and uncertain systems. Three numerical examples are given to prove the potential gain of the two lemmas and the superiority of the criteria over the previous work. (c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：8

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