Generalized integral inequality: Application to time-delay systems

被引：40
作者：
Park, M. J. [1 ]
Kwon, O. M. [2 ]
Ryu, J. H. [3 ]
机构：
[1] Kyung Hee Univ, Ctr Global Converging Humanities, 1732 Deogyeong Daero, Yongin 17104, South Korea
[2] Chungbuk Natl Univ, Sch Elect Engn, 1 Chungdae Ro, Cheongju 28644, South Korea
[3] Elect & Telecommun Res Inst, 176-11 Cheomdan Gwagi Ro, Gwangju 61012, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2018年 / 77卷
基金：
新加坡国家研究基金会;
关键词：
Systems with time-delays; Time-invariant; Generalized integral inequality; Lyapunov method; STABILITY ANALYSIS;
D O I：
10.1016/j.aml.2017.09.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates a stability problem for linear systems with time-delay. By constructing simple Lyapunov-Krasovskii functional (LKF), and utilizing a new generalized integral inequality (GII) proposed in this paper, a sufficient stability condition for the systems will be derived in terms of linear matrix inequalities (LMIs). Two illustrative examples are given to show the superiorities of the proposed criterion. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：6 / 12
页数：7
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