A novel delay partitioning method for stability analysis of interval time-varying delay systems

被引：44
|
作者：
Ding, Liming [1 ,3 ]
He, Yong [2 ]
Wu, Min [2 ]
Zhang, Zhiming [1 ]
机构：
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China
[2] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
[3] Hunan Univ Med, Dept Publ Courses, Teaching & Res Sect Comp, Huaihua 418000, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 02期
基金：
中国国家自然科学基金;
关键词：
DEPENDENT STABILITY; LINEAR-SYSTEMS; ASYMPTOTIC STABILITY; CRITERIA; STABILIZATION; INEQUALITY; STATE;
D O I：
10.1016/j.jfranklin.2016.11.022
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates the problem of the delay-dependent stability for systems with interval time varying delays. By using the idea of delay-partitioning approach, an appropriate delay partitioning point of h(2) - h(1) is an element of [0, h(2)] has been selected. Based on this delay partitioning point, a new augmented Lyapunov Krasovskii functional is constructed. Then, the free-matrix-based integral inequality is employed to estimate the derivative of Lyapunov Krasovsldi functional. As a result, less conservative criteria are presented. Numerical examples are given to illustrate the improvement of the presented approach over the existing ones. (C) 2016 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1209 / 1219
页数：11
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