微分方程的零解稳定性在控制理论中的应用 |
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引用本文: | 孟立平.微分方程的零解稳定性在控制理论中的应用[J].佳木斯工学院学报,2010(1):123-125. |
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作者姓名: | 孟立平 |
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作者单位: | 兰州商学院信息工程学院,甘肃兰州730020 |
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摘 要: | 通过微分方程解的稳定性与lyapunov稳定性的关系的研究,得到关于方程的解的稳定性定理的一些推广.
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关 键 词: | 微分方程 Lyapunov稳定性 一致稳定 |
Application of Stability of Differential Equation Zero Solution in Control Theory |
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Affiliation: | MENG Li - ping (School of Information Engineering,Lanzhou University of Finance and Economics,Lanzhou 730020, China) |
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Abstract: | The stability of the differential equation was discussed. Some conditions about Lyapunov function were improved. And some theorems about the stability of the solution of equation group were generalized. |
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Keywords: | differential equation Lyapunov stability unifonnly stable |
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