| 多时滞退化微分系统指数稳定的代数判据 |
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| 引用本文： | 周先锋,刘,张志信.多时滞退化微分系统指数稳定的代数判据[J].应用数学,2011,24(2). |
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| 作者姓名： | 周先锋 刘 张志信 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | 国家自然科学基金资助项目(11071001); 高校博士点科研基金(20093401110001); 安徽省高等学校自然科学研究重大项目(KJ2010ZD02)和重点项目(KJ2011A020,KJ2009A49); 安徽大学博士科研启动经费,安徽大学211工程(KJTD002B) |
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| 摘 要： | 本文研究退化多时滞微分系统的指数稳定性,得到了退化多时滞微分系统指数稳定性的代数判据,给出的一个例子说明所得结果的应用,同时给出了中立型退化时滞微分系统指数稳定的判定方法.
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| 关 键 词： | 时滞 指数稳定性 代数判据 |
Algebraic Criterion on Exponential Stability of Singular Differential Systems with Several Delays |
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| ZHOU Xian feng
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LIU Song
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ZHANG Zhixin.Algebraic Criterion on Exponential Stability of Singular Differential Systems with Several Delays[J].Mathematica Applicata,2011,24(2). |
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| Authors: | ZHOU Xian feng LIU Song ZHANG Zhixin |
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| Institution: | ZHOU Xianfeng,LIU Song,ZHANG Zhixin (School of Mathematical Sciences,Anhui University,Hefei 230039,China) |
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| Abstract: | In this paper,the exponential stability of a class of singular differential system with several delays is investigated.The algebraic criterion on exponential stability is obtained.An illustrate example is given to show the application of the obtained result.The method to judge the exponential stability of a class of neutral singular differential systems is given. |
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| Keywords: | Delay Exponential stability Algebraic criterion |
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