New exponential estimates for time-delay systems

被引：71

作者：

Xu, Shengyuan ^{[1
]}

Lam, James

Zhong, Maiying

机构：

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

[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

[3] Shandong Univ, Control Sci & Engn Sch, Jinan 250061, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2006年 / 51卷 / 09期

关键词：

exponential stability; linear matrix inequality (LMI); time-delay systems; uncertain systems;

D O I：

10.1109/TAC.2006.880783

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 note considers the problem of exponential stability for time-delay systems. In terms of linear matrix inequalities, a new sufficient condition for exponential stability is obtained. Based on this, an improved upper bound of the decay rate can be easily calculated. When time-varying norm-bounded parameter uncertainties appear, a new sufficient condition for robust exponential stability of uncertain time-delay systems is also provided. The reduced conservatism of the proposed conditions is illustrated via two numerical examples.

引用

页码：1501 / 1505

页数：5

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