A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach

ZHANG Jun; LUO Da-yong; SUN Miao-ping

doi:10.3969/j.issn.0372-2112.2016.01.009

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A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach

更新时间：2025-07-16

- A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach
- Acta Electronica Sinica Vol. 44, Issue 1, Pages: 54-59(2016)
- 作者机构：
  
  1. 中南大学信息科学与工程学院,湖南,长沙,410075
  2. 湖南现代物流职业学院,湖南,长沙,410131
  3. 中南大学信息科学与工程学院,湖南,长沙,410075
  4. 湖南现代物流职业学院,湖南,长沙,410131
- 作者简介：
- 基金信息：
  
  Youth Fund of National Natural Science Foundation of China (No.61403425);Program of Department of Science and Technology of Hunan Provicne (No.2013GK3137);Program of Education Department of Hunan Province (No.14C0814)
- DOI：10.3969/j.issn.0372-2112.2016.01.009
  CLC： TP13
- Published Online：25 January 2016，
  
  Published：2016
- 稿件说明：
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ZHANG Jun, LUO Da-yong, SUN Miao-ping. A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach[J]. Acta Electronica Sinica, 2016, 44(1): 54-59.
DOI：

ZHANG Jun, LUO Da-yong, SUN Miao-ping. A New Stability Condition for Networked Control System with Time-Varying Delay Based on Time Delay Uneven-Partitioning Approach[J]. Acta Electronica Sinica, 2016, 44(1): 54-59. DOI： 10.3969/j.issn.0372-2112.2016.01.009.

摘要

针对一种变时延线性网络控制系统

采用时滞区间不均分法

将时滞分割成

个区间.在每个区间都构建不同的Lyapunov-Krasovskii泛函

并引入三重积分项

同时结合自由权矩阵法

在各自的时滞区间上采用保守性小的积分不等式来处理泛函导数

进而获得了保证网络控制系统的一种新的稳定性条件.并且

最后通过相应的数值算例验证了本文中的结论.

Abstract

Aimed to a type of networked control system with time-varying delay

it divided the time area into

sections unevenly.Then

it made each different Lyapunov-Krasovskii functional by taking triple integral and combined with free-weighting matrices

used less conservative integral inequality to tackle the derivative of Lyapunov-Krasovskii functional.Furthermore

it got a new stability condition for time-varying delay of networked control system.Finally

numerical example was given to prove the result in this paper.

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