| 区间多项式的鲁棒稳定性 |
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| 引用本文： | 荆海英,谢绪恺,韩大伟.区间多项式的鲁棒稳定性[J].数学研究及应用,2002,22(3):413-417. |
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| 作者姓名： | 荆海英 谢绪恺 韩大伟 |
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| 作者单位： | 东北大学数学系,辽宁,沈阳,110006 |
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| 基金项目： | Supported by the Fund of China Education Ministry. |
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| 摘 要： | 本文首先给出了一种新的判定多项式稳定的充要条件（引理2.1）.然后,在此基础上,研究了区间多项式的鲁棒稳定性,得到了若干判别区间多项式的充分条件（定理2.2-定理2.3）.由于所得的摄动界完全可由原末被扰动的多项式的系数所决定,这使得本文的方法比现有的结果简单好用.文末的例子说明了本文方法的有效性.
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| 关 键 词： | 区间多项式 鲁棒稳定性 充要条件 |
| 收稿时间： | 1999/8/16 0:00:00 |
The Robust Stability for Interval-Polynomial |
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| JING Hai-ying,XIE Xu-kai and HAN Da-wei.The Robust Stability for Interval-Polynomial[J].Journal of Mathematical Research with Applications,2002,22(3):413-417. |
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| Authors: | JING Hai-ying XIE Xu-kai and HAN Da-wei |
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| Institution: | Dept. Appl. & Math.; Northeastern University; Shenyang; China;Dept. Appl. & Math.; Northeastern University; Shenyang; China;Dept. Appl. & Math.; Northeastern University; Shenyang; China |
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| Abstract: | In this paper, a new stability criterion for positive-coefficient polynomialis given. Then the problem about the robust stability for an interval-polynomial is in-vestigated and some new stability criterions for interval-polynomials are obtained. Thecoefficient perturbation bound for stable interval polynomial can be completely deter-mined by the coefficients of polynomial (1.1). So the conclusions of this paper are silmpleand useful. Several examples iu the end of this paper show that the criterions given inthis paper are effective. |
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| Keywords: | polynomial stability interval polynomial Robust stability perturbed co-efficients |
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