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双输入时滞的网络控制系统的稳定性改进结果
引用本文:曾德强,石勇国,张瑞梅,钟守铭.双输入时滞的网络控制系统的稳定性改进结果[J].四川大学学报(自然科学版),2018,55(3):462-468.
作者姓名:曾德强  石勇国  张瑞梅  钟守铭
作者单位:内江师范学院数学与信息科学学院/数据恢复四川省重点实验室/四川省高等学校数值仿真重点实验室;电子科技大学数学科学学院
基金项目:国家自然科学基金(11301256);内江师范学院应用数学重点学科(0430102)
摘    要:本文研究具有双输入时滞的网络控制系统的稳定性.本文首先把整个时滞区间划分为三个子区间并构造了一个新的Lyapunov泛函,该泛函可以充分利用所有时滞的信息.然后本文运用Wirtinger不等式得到了网络控制系统全局渐近稳定的充分判据.仿真算例验证了结果的有效性.同已有结果相比,本文的结果的保守性更低.

关 键 词:稳定性    网络控制系统    Lyapunov泛函    双输入时滞
收稿时间:2017/10/31 0:00:00
修稿时间:2017/11/9 0:00:00

Improved results on stability analysis for a networked control system with two additive input delays
ZENG De-Qiang,SHI Yong-Guo,ZHANG Rui-Mei and ZHONG Shou-Ming.Improved results on stability analysis for a networked control system with two additive input delays[J].Journal of Sichuan University (Natural Science Edition),2018,55(3):462-468.
Authors:ZENG De-Qiang  SHI Yong-Guo  ZHANG Rui-Mei and ZHONG Shou-Ming
Abstract:Stability analysis for a networked control system with two additive input delays is considered.By spitting the whole delay interval into three subintervals, a new Lyapunov Krasovskii functional is constructed, which can make full use of the information of all the delays.Then, based on the constructed Lyapunov Krasovskii functional and using Wirtinger based inequality, sufficient conditions are derived to ensure the global asymptotic stability of the networked control system.Finally, a numerical example is provided to show the effectiveness of the criterion.In comparison with the known results, the obtained stability criterion is less conservative.
Keywords:Stability analysis  Networked control system  Lyapunov-Krasovskii functional  Two additive input delays
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