| 具变时滞的非线性退化微分系统的渐近稳定性判据 |
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| 引用本文： | 张海,蒋威.具变时滞的非线性退化微分系统的渐近稳定性判据[J].数学研究及应用,2010,30(4):664-674. |
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| 作者姓名： | 张海 蒋威 |
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| 作者单位： | 安徽大学数学科学学院, 安徽 合肥 230039; 安庆师范学院数学与计算科学学院, 安徽 安庆 246011;安徽大学数学科学学院, 安徽 合肥 230039 |
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| 基金项目： | 国家自然科学基金(Grant No.10771001),教育部高校博士学科点专项科研基金(Grant No.20093401110001),安徽省教育厅自然科学研究重大项目(Grant No.KJ2010ZD02),安徽省教育厅自然科学研究项目(Grant Nos.KJ2008B152; KJ2009B098),安徽大学创新团队基金. |
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| 摘 要： | In this paper, the asymptotic stability for singular differential nonlinear systems with multiple time-varying delays is considered. The V-functional method for general singular differential delay system is investigated. The asymptotic stability criteria for singular differential nonlinear systems with multiple time-varying delays are derived based on V-functional method and some analytical techniques, which are described as matrix equations or matrix inequalities. The results obtained are computationally flexible and efficient.
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| 关 键 词： | singular differential systems time-varying delays V-functional asymptotic stability criteria matrix equations matrix inequalities. |
| 收稿时间： | 2008/6/20 0:00:00 |
| 修稿时间： | 2008/10/6 0:00:00 |
Asymptotic Stability Criteria for Singular Differential Nonlinear Systems with Time-Varying Delays |
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| Hai ZHANG and Wei JIANG.Asymptotic Stability Criteria for Singular Differential Nonlinear Systems with Time-Varying Delays[J].Journal of Mathematical Research with Applications,2010,30(4):664-674. |
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| Authors: | Hai ZHANG and Wei JIANG |
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| Institution: | 1. School of Mathematical Sciences, Anhui University, Anhui 230039, P.R.China;School of Mathematics and Compuation Science, Anqing Teachers College,Anhui 246011, P.R.China
2. School of Mathematical Sciences, Anhui University, Anhui 230039, P.R.China |
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| Abstract: | In this paper, the asymptotic stability for singular differential nonlinear systems with multiple time-varying delays is considered. The V-functional method for general singular differential delay system is investigated. The asymptotic stability criteria for singular differential nonlinear systems with multiple time-varying delays are derived based on V-functional method and some analytical techniques, which are described as matrix equations or matrix inequalities. The results obtained are computationally flexible and efficient. |
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| Keywords: | singular differential systems time-varying delays V-functional asymptotic stability criteria matrix equations matrix inequalities |
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