| 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 |
| 具变时滞的非线性退化微分系统的渐近稳定性判据 |
| Asymptotic Stability Criteria for Singular Differential Nonlinear Systems with Time-Varying Delays |
| 投稿时间：2008-06-20 修订日期：2008-10-06 |
| DOI：10.3770/j.issn:1000-341X.2010.04.011 |
| 中文关键词: 退化微分系统 变时滞 V泛函 渐近稳定性判据 矩阵方程 矩阵不等式. |
| 英文关键词:singular differential systems time-varying delays V-functional asymptotic stability criteria matrix equations matrix inequalities. |
| 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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| 中文摘要: |
| 本文讨论具有多变时滞的非线性退化微分系统的渐近稳定性. 研究了一般退化时滞微分系统的$V$泛函方法, 基于$V$泛函方法和分析技巧给出了具有多变时滞的非线性退化微分系统的渐近稳定性判据, 稳定性判据被描述为矩阵等式或者矩阵不等式. 所得结果在计算上是可行的和有效的. |
| 英文摘要: |
| 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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