| 一类时变时滞系统的稳定性判据 |
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| 引用本文： | 王华强,石荣荣,杨滁光,董学平,姚亮.一类时变时滞系统的稳定性判据[J].合肥工业大学学报(自然科学版),2011,34(8):1146-1149,1221. |
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| 作者姓名： | 王华强 石荣荣 杨滁光 董学平 姚亮 |
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| 作者单位： | 1. 合肥工业大学电气与自动化工程学院,安徽合肥,230009
2. 安徽安利合成革股份有限公司,安徽合肥,231202 |
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| 基金项目： | 国家自然科学基金资助项目(60974022) |
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| 摘 要： | 文章研究了一类时变时滞系统的稳定性,根据时变时滞的上下界,将时滞区间划分为多个部分,并设计相应李亚普诺夫函数,得到了新的稳定性判据,该判据与时滞的上下界相关；并推导了带非线性扰动的时变时滞系统稳定性,得出线性矩阵不等式的形式,并使用数字仿真验证了结论的有效性.
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| 关 键 词： | 时变时滞 李亚普诺夫函数 稳定性 非线性扰动 |
On stability criteria of a class of systems with time-varying delays |
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| WANG Hua-qiang,SHI Rong-rong,YANG Chu-guang,DONG Xue-ping,YAO Liang.On stability criteria of a class of systems with time-varying delays[J].Journal of Hefei University of Technology(Natural Science),2011,34(8):1146-1149,1221. |
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| Authors: | WANG Hua-qiang SHI Rong-rong YANG Chu-guang DONG Xue-ping YAO Liang |
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| Institution: | WANG Hua-qiang1,SHI Rong-rong1,YANG Chu-guang2,DONG Xue-ping1,YAO Liang1(1.School of Electric Engineering and Automation,Hefei University of Technology,Hefei 230009,China,2.Anhui Anli Artificial Leather Co.,Ltd.,Hefei 231202,China) |
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| Abstract: | This paper deals with the stability of a class of systems with time-varying delays.Based on the upper bound and lower bound of time-varying delays,the delay interval is divided into several parts.The corresponding Lyapunov functions are designed and then a new stability criteria is derived,which is lower-bound-dependent and upper-bound-dependent.The stability of this class of systems with nonlinear perturbations is investigated,and the linear matrix inequalities are obtained.A numerical example is given to ... |
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| Keywords: | time-varying delay Lyapunov function stability nonlinear perturbation |
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