| 关于变系数线性微分方程的稳定性* |
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| 引用本文： | 孙继涛,张银萍.关于变系数线性微分方程的稳定性*[J].控制理论与应用,1998,15(4):642-645. |
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| 作者姓名： | 孙继涛 张银萍 |
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| 作者单位： | 上海铁道大学应用数学所!上海，200331 |
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| 基金项目： | 上海铁道大学科技发展基金!29823 |
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| 摘 要： | 本文用矩阵测度和比较定量给出了变系数线性微分方程稳定性的一个简单判据，对周期系数的线性微分方程给出了较为精确的渐近稳定判据，推广和改进了文［１］的工作。
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| 关 键 词： | 变系数性方程 稳定性 矩阵测度 线性微分方程 |
| 修稿时间： | 1997/4/16 0:00:00 |
On the Stability of Linear Differential Equationwith Varying Coefficients |
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| SUN Jitao,and,ZHANG Yinping.On the Stability of Linear Differential Equationwith Varying Coefficients[J].Control Theory & Applications,1998,15(4):642-645. |
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| Authors: | SUN Jitao and ZHANG Yinping |
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| Abstract: | In this paper,we investigate the stability of the linear differential equation with varying coefficients x(t) = A (t)x. Some simple criteria of stability are given. In addition,for the linear differential equation with periodic coefficients one of the more exact criteria of asymptotic stability is given by matrix measure and comparison theory. The results of paper1] are extended and improved. |
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| Keywords: | linear equation with varying coefficients stability matrix measure |
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