Novel Robust Stability Condition for Uncertain Systems with Interval Time-Varying Delay

WU Yu-bin; ZHANG He-xin; HUI Jun-jun; LI Guo-liang; ZHOU Xin; YANG Tian-guang

doi:10.3969/j.issn.0372-2112.2018.04.028

您当前的位置：

首页 >

文章列表页 >

Novel Robust Stability Condition for Uncertain Systems with Interval Time-Varying Delay

更新时间：2025-07-16

- Novel Robust Stability Condition for Uncertain Systems with Interval Time-Varying Delay
- Acta Electronica Sinica Vol. 46, Issue 4, Pages: 975-983(2018)
- 作者机构：
  
  1. 火箭军工程大学,陕西,西安,710025
  2. 宝鸡市150信箱11分箱,陕西,宝鸡,721013
  3. 西北工业大学航天学院,陕西,西安,710072
  4. 火箭军工程大学,陕西,西安,710025
  5. 宝鸡市150信箱11分箱,陕西,宝鸡,721013
  6. 西北工业大学航天学院,陕西,西安,710072
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.61374120)
- DOI：10.3969/j.issn.0372-2112.2018.04.028
  CLC： TP13
- Published Online：25 April 2018，
  
  Published：2018
- 稿件说明：
移动端阅览
WU Yu-bin, ZHANG He-xin, HUI Jun-jun, et al. Novel Robust Stability Condition for Uncertain Systems with Interval Time-Varying Delay[J]. Acta Electronica Sinica, 2018, 46(4): 975-983.
DOI：

WU Yu-bin, ZHANG He-xin, HUI Jun-jun, et al. Novel Robust Stability Condition for Uncertain Systems with Interval Time-Varying Delay[J]. Acta Electronica Sinica, 2018, 46(4): 975-983. DOI： 10.3969/j.issn.0372-2112.2018.04.028.

摘要

本文针对一类线性区间变时滞不确定系统的鲁棒稳定性分析问题进行了研究.基于时滞中点法和凸组合技术，借助于构造一个包含四重积分项的新Lyapunov-Krasovskii（L-K）泛函，并利用积分不等式方法给出了LMI（Linear Matrix Inequality）形式的时滞相关稳定性新判据.与已有文献相比，该判据能大大降低理论推导和计算上的复杂性.最后通过三个具有代表性的数值例子对比验证了本文所提出方法在降低结论保守性方面的优越性.

Abstract

In this paper

the problem of robust stability analysis for a class of linear uncertain systems with interval time-varying delay is studied. In order to develop a less conservative stability condition

a Lyapunov-Krasovskii functional comprising quadruple-integral term is introduced. A novel delay dependent stability criterion in terms of linear matrix inequalities (LMIs) is given by using delay-central-point (DCP) method and reciprocally convex combination technique

which is derived by integral inequality method. Compared with the existing literature

this criterion can greatly reduce the complexity of theoretical derivation and computation. Finally

three well-known numerical comparative examples are given to verify the superiority of the proposed approach in reducing the conservation of conclusion.

关键词

Keywords

references

Views

202

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

An LMI Approach to Robust Stability Analysis of Cohen-Grossberg Neural Networks with Time Varying Delay

Related Author

WANG Zhan-shan

ZHANG Hua-guang

YU Wen

ZHANG Qing-Ling

Related Institution

School of Information Science and Engineering, Northeastern University

Departamento de Control Automatico,CINVESTAV-IPN

Institute of Systems Science,Northeastern University

School of Information Science and EngineeringNortheastern UniversityShenyangLiaoning 110004China

Departamento de Control AutomaticoCINVESTAV-IPNMexico

⁰