| 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.[点击复制] |
| SUN Jitao and ZHANG Yinping.On the Stability of Linear Differential Equationwith Varying Coefficients[J].Control Theory and Technology,1998,15(4):642~645.[点击复制] |
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| 关于变系数线性微分方程的稳定性* |
| On the Stability of Linear Differential Equationwith Varying Coefficients |
| 摘要点击 1021 全文点击 491 修订日期：1997-04-16 |
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| DOI编号 |
| 1998,15(4):642-645 |
| 中文关键词 变系数线性方程 稳定性 矩阵测度 |
| 英文关键词 linear equation with varying coefficients, stability matrix measure |
| 基金项目 |
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| 中文摘要 |
| 本文用矩阵测度和比较定理给出了变系数线性微分方程稳定性的一个简洁判据，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. |
| 英文摘要 |
| In this paper， we investigate the stability of the linear differential equation with varying coeffi-cients x(t) = A(t)x. Some simple criteria of stability are given， ln addition， for the linear differential equation with periodic coefficients one of the more exact criteria of asym， ptotic stability is given by matrix measure and comparison theory. The results of paper[1] are extended and improved. |