| 线性时滞系统Liapunov泛函的存在性 |
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| 引用本文： | 张胜祥,郑祖庥.线性时滞系统Liapunov泛函的存在性[J].高校应用数学学报(英文版),2002,17(3):273-276. |
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| 作者姓名： | 张胜祥 郑祖庥 |
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| 作者单位： | [1]CollegeofScience,SouthChinaAgriculturalUniv.,Guangzhou510642,China [2]Dept.ofMath.,AnhuiUniv.,Hefei230039,China |
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| 摘 要： | The delay system x(t)=Ax(t) Bx(t-r)is considered. The necessary and sufficient conditions of the existence of a kind of Liapunov functional for the system are given.
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| 关 键 词： | 线性时滞系统 泛涵分析 存在性 里亚普诺夫泛涵 |
The existence of a liapunov functional for linear delay system |
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| Shengxiang Zhang,Zuxiu Zheng.The existence of a liapunov functional for linear delay system[J].Applied Mathematics A Journal of Chinese Universities,2002,17(3):273-276. |
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| Authors: | Shengxiang Zhang Zuxiu Zheng |
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| Institution: | (1) College of Science, South China Agricultural Univ., 510642 Guangzhou, China;(2) Dept. of Math., Anhui Univ., 230039 Hefei, China |
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| Abstract: | The delay system (.)x(t)=Ax(t)+Bx(t-r)is considered. The necessary and sufficient conditions of the existence of a kind of Liapunov functional for the system are given. |
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| Keywords: | delay system Liapunov functional all-delay stability |
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