| 高阶非线性微分方程的全局稳定性 |
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| 引用本文： | 朱洪亮,张静茹.高阶非线性微分方程的全局稳定性[J].新疆大学学报(理工版),1996,13(3):6-12. |
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| 作者姓名： | 朱洪亮 张静茹 |
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| 作者单位： | 新疆大学数学系 |
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| 摘 要： | 本文通过将高阶非线性自治微分方程转化为Ｌｕｒｉｅ型控制系统的方法，借助于Ｐｏｐｏｖ的频率判据，得到了它们全局渐近稳定的判别准则，推广了文［１］的结果．
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| 关 键 词： | 非线性 微分方程 全局稳定性 Popov频率判据 |
The Global Stability Of Non-linear Differential Equations Of Higher Order |
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| Zhu Hongliang, Zhang Jingru.The Global Stability Of Non-linear Differential Equations Of Higher Order[J].Journal of Xinjiang University(Science & Engineering),1996,13(3):6-12. |
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| Authors: | Zhu Hongliang Zhang Jingru |
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| Abstract: | In this paper, by transforming several classes non-linear autonomous differential equations of higher order to control systems of Lurie form, and by Popov frequency criteria, a sufficient condition of the global asymptotic stability is obtained, Which improves the results in 1]. |
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| Keywords: | non-line Autonomous differential of higher order control systems of Lurie form golbal stability Popov frequency criteria |
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