Stability of nonlinear time-delay systems satisfying a quadratic constraint

被引：8
|
作者：
Ekramian, Mohsen [1 ]
Ataei, Mohammad [1 ]
Talebi, Soroush [1 ]
机构：
[1] Univ Isfahan, Dept Elect Engn, Esfahan 8174673441, Iran
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2018年 / 40卷 / 03期
关键词：
Time-delay systems; quadratic constraint; Lyapunov-Krasovskii functional; linear matrix inequalities; Wirtinger-based inequality; LURE CONTROL-SYSTEMS; ABSOLUTE STABILITY; CRITERION;
D O I：
10.1177/0142331216668003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The stability problem of nonlinear time-delay systems is addressed. A quadratic constraint is employed to exploit the structure of nonlinearity in dynamical systems via a set of multiplier matrices. This yields less conservative results concerning stability analysis. By employing a Wirtinger-based inequality, a delay-dependent stability criterion is derived in terms of linear matrix inequalities for the nominal and uncertain systems. A numerical example is used to demonstrate the effectiveness of the proposed stability conditions in dealing with some larger class of nonlinearities.
引用
收藏
页码：712 / 718
页数：7
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