A Note on Relationship Between Two Classes of Integral Inequalities

被引：27

作者：

Chen, Jun ^{[1
]}

Xu, Shengyuan ^{[1
]}

Zhang, Baoyong ^{[1
]}

Liu, Guobao ^{[1
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 08期

关键词：

Free-weighting matrix technique; integral inequalities; stability; time-delay systems; STABILITY ANALYSIS; DELAY; SYSTEMS; STABILIZATION; CRITERIA; EQUIVALENCE; STATE;

D O I：

10.1109/TAC.2016.2618367

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 technical note firstly introduces two classes of integral inequalities with and without free matrices, respectively, and points out that they, although in different forms, are actually equivalent in the sense of conservatism, i.e., the two corresponding ones produce the same tight upper bounds. Secondly, the relationship between the method of integral inequalities with free matrices and the free-weighting matrix technique is intensively investigated. It is shown that these two different methods are actually equivalent in assessing the stability of time-delay systems.

引用

页码：4044 / 4049

页数：6

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