Stability of systems with fast-varying delay using improved Wirtinger's inequality

被引：0

作者：

Seuret, Alexandre ^{[1
,2
]}

Gouaisbaut, Frederic ^{[1
,3
]}

Fridman, Emilia ^{[4
]}

机构：

[1] CNRS, LAAS, F-31077 Toulouse, France

[2] Univ Toulouse, LAAS, F-31400 Toulouse, France

[3] Univ Toulouse, LAAS, UPS, F-31400 Toulouse, France

[4] Tel Aviv Univ, IL-69978 Tel Aviv, Israel

来源：

2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2013年

关键词：

H-INFINITY CONTROL; DEPENDENT STABILITY;

D O I：

暂无

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 considers the stability of systems with fast-varying delay. The novelty of the paper comes from the consideration of a new integral inequality which is proved to be less conservative than the celebrated Jensen's inequality. Based on this new inequality, a dedicated construction of LyapunovKrasovskii functionals is proposed and is showed to have a great potential in practice. The method is also combined with an efficient representation of the improved reciprocally convex combination inequality, recently provided in the literature, in order to reduce the conservatism induced by the LMIs optimization setup. The effectiveness of the proposed result is illustrated by some classical examples from the literature.

引用

页码：946 / 951

页数：6

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