[1]高骞,刘德友,朱作键,等.时滞中立型Lurie系统的绝对稳定性分析[J].郑州大学学报(工学版),2013,34(04):45-49.[doi:10.3969/j.issn.1671-6833.2013.04.011]
　GAO Qian,LIU De-you,ZHU Zuo-jian,et al.Absolute Stability Analysis of Neutral Lurie Systems with Time Delays[J].Journal of Zhengzhou University (Engineering Science),2013,34(04):45-49.[doi:10.3969/j.issn.1671-6833.2013.04.011]
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时滞中立型Lurie系统的绝对稳定性分析()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
34
期数:
2013年04期
页码:
45-49
栏目:
出版日期:
2013-09-09

文章信息/Info

Title:
Absolute Stability Analysis of Neutral Lurie Systems with Time Delays
作者:
高骞; 刘德友; 朱作键; 等.
燕山大学理学院,河北秦皇岛,066004, 东北石油大学电气工程学院黑龙江大庆163318
Author(s):
GAO Qian1; LIU De-you1; ZHU Zuo-jian1; GAO Jin-lan2
1.Colleze of Science，Yanshan University , Qinhuangdao 066004, China;2.College of Electrical Engineering，Northeast Petroleum University，Daqing 163318，China
关键词:
Lurie控制系统;  时滞相关稳定;  中立型时滞;  线性矩阵不等式
Keywords:
Lurie control system;  delay dependent stability ;  neutral delay;  linear matrix inequality
分类号:
TP183
DOI:
10.3969/j.issn.1671-6833.2013.04.011
摘要:
研究了具有时滞的中立型Lurie控制系统的绝对稳定性问题.通过把离散时滞区间分割成多个部分和构造适当的Lyapunov-Krasovskii泛函,分别给出系统在无限扇形角和有限扇形角内绝对稳定的时滞相关充分条件.所给的判定条件既与离散时滞相关又与中立型时滞相关,而且是线性矩阵不等式形式,可以方便地运用Matlab工具箱求解.最后数值例子说明本方法的有效性和可行性.
Abstract:
The absolute stability problem for neutral Lurie control systems with time delays is studied.By di-viding the discrete delay interval into multiple segments and choosing proper Lyapunov -Krasovski functions,two delay-dependent criteria for absolute stability of systems in infinite sector and finite sector were respectivelyderived.The derived stability criteria were both discrete delay dependent and neutral delay dependent. Theproposed condition was in terms of a linear matrix inequality which can be easily solved with Matlab toolbox.Finally，numerical example demonstrates the validity and feasibility of the proposed criteria.
更新日期/Last Update: 1900-01-01