Stability analysis for interval time-varying delay systems based on time-varying bound integral method

被引：23

作者：

Qian, Wei ^{[1
]}

Li, Tao ^{[2
]}

Cong, Shen ^{[3
]}

Fei, Shumin ^{[4
]}

机构：

[1] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo 454000, Henan, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Sch Automat Engn, Nanjing 210016, Jiangsu, Peoples R China

[3] Heilongjiang Univ, Dept Mech & Elect Engn, Harbin 150080, Peoples R China

[4] Southeast Univ, Dept Automat, Nanjing 210096, Jiangsu, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 10期

关键词：

RANGE-DEPENDENT STABILITY; ROBUST STABILITY; LINEAR-SYSTEMS; CRITERIA;

D O I：

10.1016/j.jfranklin.2014.07.015

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 addresses the new stability analysis method for systems with interval time-varying delay. By taking single-integral and double-integral terms with time-varying bound into consideration, a new Lyapunov-Krasovskii functional is defined. Then reciprocally convex approach and some transformations are used to estimate the derivative of the constructed functional less conservatively, and as a result, some new stability criteria are obtained in terms of the quadratic convex combination, which are less conservative and have less decision variables. Two well-known examples are also given to illustrate the advantage of the main results. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：4892 / 4903

页数：12

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