| 绝对稳定性的新频率准则 |
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| 引用本文： | 赵素霞,仵永先.绝对稳定性的新频率准则[J].数学学报,1995,38(1):6-12. |
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| 作者姓名： | 赵素霞 仵永先 |
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| 作者单位： | 辽宁师范大学数学系 |
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| 摘 要： | 本文考虑具有多个非线性元素的控制系统的绝对稳定性问题。得出了Ｌｕｒｉｅ型Ｌｙａｐｕｎｏｖ函数存在的充要条件，并由此引导出绝对稳定性的新频率准则，它改进了文献［１］，［２］中的新近结果。
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| 关 键 词： | 绝对稳定性，频率准则，Lyapunov函数 |
| 收稿时间： | 1992-2-2 |
New Frequency Criterion for Absolute Stability |
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| Zhao Suxia, Wu Yongxian.New Frequency Criterion for Absolute Stability[J].Acta Mathematica Sinica,1995,38(1):6-12. |
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| Authors: | Zhao Suxia Wu Yongxian |
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| Institution: | Zhao Suxia; Wu Yongxian(Liao,Normal University, Dalian 11 6022 ,China ) |
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| Abstract: | In this paper,we consider the problem of absolute stability for control systemswith several nonlinear elements. New necessary and sufficient condition for the existence of aLyapunov function of Lurie form is obtained,and thus a frequency criterion for absolute stabilityis drawn,which improves the results obtained by Rapoport and Kamenetskiy |
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| Keywords: | absolute stability frequency criterion Lyapunov function |
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