| 多时滞系统的不稳定性 |
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| 引用本文： | 高存臣,邓臻,丁培培.多时滞系统的不稳定性[J].中国海洋大学学报(自然科学版),2006,36(4):577-580. |
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| 作者姓名： | 高存臣 邓臻 丁培培 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛,266071 |
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| 基金项目： | 国家自然科学基金;山东省青岛市自然科学基金 |
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| 摘 要： | 利用比较原理结合向量Lyapunov函数研究一类多滞后线性时变系统的不稳定性,并在此基础上进一步研究一类多滞后非线性系统及多滞后区间系数系统的不稳定性,给出相关定理,丰富已有文献的相应结果。
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| 关 键 词： | 多滞后线性、非线性连续系统 区间系数 比较原理 向量Lyapunov函数 |
| 文章编号： | 1672-5174(2006)04-577-04 |
| 收稿时间： | 2005-09-26 |
| 修稿时间： | 2005-12-15 |
The Instability of Multiple-Delay Systems |
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| GAO Cun-Chen,DENG Zhen,DING Pei-Pei.The Instability of Multiple-Delay Systems[J].Periodical of Ocean University of China,2006,36(4):577-580. |
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| Authors: | GAO Cun-Chen DENG Zhen DING Pei-Pei |
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| Institution: | Department of Mathematics, Ocean University of China, Qingdao 266071, China |
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| Abstract: | In order to investigate the instability of a class of linear time-varying systems with multidelays,the comparison principle with the vector Lyapunov function is employed.Based on the same technique,we also study the instability of a class of multidelay nonlinear systems and interval coefficient continuous systems with multidelays.The results obtained in this paper extend some existing achievements in this subject. |
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| Keywords: | linear and nonlinear systems with multidelays interval coefficient the comparison principle the vector Lyapunov function |
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