[1]王新伟,张颖,戎玉密.改进Lyapunov泛函下变时滞系统稳定性分析[J].深圳大学学报理工版,2017,34(2):181-187.
 Wang Xinwei,Zhang Ying,and Rong Yumi. Stability analysis of time-varying delaysystem based on an improved Lyapunov function[J].Journal of Shenzhen University Science and Engineering,2017,34(2):181-187.
点击复制

改进Lyapunov泛函下变时滞系统稳定性分析()
分享到:

《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第34卷
期数:
2017年第2期
页码:
181-187
栏目:
电子与信息科学
出版日期:
2017-03-20

文章信息/Info

Title:
 Stability analysis of time-varying delaysystem based on an improved Lyapunov function
作者:
 王新伟1张颖2戎玉密2
 1)深圳信息职业技术学院机电工程学院,广东深圳518172;2)哈尔滨工业大学深圳研究生院,广东深圳518055
Author(s):
 Wang Xinwei 1 Zhang Ying 2 and Rong Yumi 2
1) Department of Mechanical and Electrical Engineering,Institute of Information Technology, Shenzhen 518172, Guangdong Province, P.R.China
2) Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, Guangdong Province, P.R.China
关键词:
区间变时滞倒数凸组合线性矩阵不等式稳定性判据改进Lyapunov泛函Jensen积分
Keywords:
 interval time-varying delay reciprocally convex combination linear matrix inequality stability criteria derivative of Lyapunov function Jensen inequality
分类号:
TP 13
文献标志码:
A
摘要:
 针对具有区间变时滞的线性系统,提出一种新的稳定性判据.基于改进Lyapunov泛函,采用Jensen积分不等式和倒数凸组合技术,对Lyapunov泛函导数中的积分项进行界定,获得更紧的时滞上界,从而得到保守性更低的稳定性判据.通过数值实例验证所提出的稳定性判据有效.
Abstract:
 We provide a new delay-range-dependent criterion for interval time-varying delay linear system. By using Jensen inequality method and reciprocally convex combination technique,the upper bound of thederivative of Lyapunov function can be estimated more tightly with our improved Lyapunov function. And then newless conservative stability criteria are derived. Numerical examples are given to illustrate the effectiveness and the improvementof the proposed criterion.
更新日期/Last Update: 2017-03-03