Second-order reciprocally convex approach to stability of systems with interval time-varying delays

被引：67

作者：

Lee, Won Il ^{[1
]}

Park, PooGyeon ^{[1
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Elect & Elect Engn, Pohang, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷

基金：

新加坡国家研究基金会;

关键词：

Triple integral terms; Reciprocally convex approach; Interval time-varying delays; Stability analysis; DEPENDENT STABILITY; ROBUST STABILITY; NEURAL-NETWORKS; NEUTRAL SYSTEMS; LINEAR-SYSTEMS; CRITERIA; STABILIZATION;

D O I：

10.1016/j.amc.2013.12.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, some triple integral terms in the Lyapunov Krasovskii functional have been introduced in the literature to reduce conservatism in the stability analysis of systems with interval time-varying delays. When we apply the Jensen inequality to partitioned double integral terms in the derivation of LMI conditions, a new kind of linear combination of positive functions weighted by the inverses of squared convex parameters emerges. This paper proposes an efficient method to manipulate such a combination by extending the lower bound lemma. Some numerical examples are given to demonstrate the improvement of the proposed method. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：245 / 253

页数：9

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