| 关于一类多项式族的鲁棒稳定性研究 |
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| 引用本文： | 王勇,于年才.关于一类多项式族的鲁棒稳定性研究[J].应用数学和力学,1993,14(12):1041-1048. |
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| 作者姓名： | 王勇 于年才 |
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| 作者单位： | 北京大学力学系 |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金资助项目 |
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| 摘 要： | 本文对包括区间多项式族和菱形多项式族的一类多项式族的鲁棒稳定性进行了研究.我们给出并证明了其中几个可用有限检验来判断的多项式族的Hurwitz稳定的实例;同时举例说明了有限检验对所有这一类多项式族并不总是可行的.
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| 关 键 词： | 值映射 H稳定 H等价 |
| 收稿时间： | 1992-07-13 |
On Robust Stability of a Class of Polynomial Families |
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| Wang Yong Yu Nian-cai.On Robust Stability of a Class of Polynomial Families[J].Applied Mathematics and Mechanics,1993,14(12):1041-1048. |
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| Authors: | Wang Yong Yu Nian-cai |
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| Institution: | Dept. of Mechanics, Peking University, Beijing |
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| Abstract: | In this paper, we discuss the robust stability of a class of polynomial families more general than the interval polynomial family and diamond polynomial family. We prove that the Hurwitz stability of some special cases of this class of polynomial families can be determined by checking finite polynomials. We also give an example to illustrate that it is not always possible to determine the Hurwitz stability of all this class of polynomial families by checking finite polynomials. |
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| Keywords: | value mapping H-stabilily H-equivalence |
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