一类不确定中立型系统的鲁棒稳定性分析

J4 ›› 2011, Vol. 46 ›› Issue (1): 28-34.

一类不确定中立型系统的鲁棒稳定性分析

焦建民

宝鸡文理学院数学系, 陕西宝鸡 721013

收稿日期:2010-03-14 出版日期:2011-12-14 发布日期:2011-03-16
作者简介:焦建民(1977-),男,讲师,硕士,主要从事控制理论的研究.Email:jmjiao@126.com
基金资助:
宝鸡文理学院重点科研计划项目(ZK09129)

Robust stability analysis of a class of uncertain neutral systems

JIAO Jian-min

Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China

Received:2010-03-14 Online:2011-12-14 Published:2011-03-16

摘要/Abstract

摘要：

基于Lyapunov稳定性理论,利用新构造的增广-离散化Lyapunov泛函并结合自由权矩阵方法,提出了用线性矩阵不等式(linear matrix inequality,LMI)表示的时滞相关鲁棒稳定性准则。数值实例表明了结果的有效性和较小保守性。

关键词: 中立型系统;不确定性;鲁棒稳定;线性矩阵不等式

Abstract:

Based on the Lyapunov stability theory, by using a new constructed augmented-discretized Lyapunov functional and free-weighting matrix approach, a new delay-dependent criterion for robust stability was derived in terms of linear matrix inequality (LMI). Numerical examples demonstrated that the proposed criterion was effective and less conservative.

Key words: neutral system; uncertainty; robust stability; linear matrix inequality (LMI)

焦建民. 一类不确定中立型系统的鲁棒稳定性分析[J]. J4, 2011, 46(1): 28-34.

JIAO Jian-min. Robust stability analysis of a class of uncertain neutral systems[J]. J4, 2011, 46(1): 28-34.

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed