| Marachkov-Barbashin-Krasovskii型渐近稳定性定理 |
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| 引用本文： | 陈伯山.Marachkov-Barbashin-Krasovskii型渐近稳定性定理[J].应用数学,1993,6(1):55-63. |
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| 作者姓名： | 陈伯山 |
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| 作者单位： | 湖北师范学院数学系 |
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| 摘 要： | 本文研究非自治系统的渐近稳定性.且得到了不要求Liapunov函数正定,也不要求其沿系统的解的导数负定的渐近稳定性定理.一致渐近稳定性定理及全局渐近稳定性定理.
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| 关 键 词： | 非自治系统 Liapunov函数 正定 渐近稳定 |
Marachkov-Barbashin-Krasovskii Type Asymptotic Stability Theorem |
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| Chen Boshan.Marachkov-Barbashin-Krasovskii Type Asymptotic Stability Theorem[J].Mathematica Applicata,1993,6(1):55-63. |
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| Authors: | Chen Boshan |
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| Abstract: | By using Liapunov function that is not positive definite, the present paper deals with stability for nonautonomous systems. Known Marachkov theorem and Barbashin-Krasovskii theorem are unified, improved and extended. |
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| Keywords: | Nonautonomous systems Liapunov function asymptotic stability |
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