| 区间矩阵Hurwitz稳定的充分及充要条件 |
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| 引用本文： | 郭良栋,沙秋夫,何希勤.区间矩阵Hurwitz稳定的充分及充要条件[J].鞍山科技大学学报,2005,28(2):108-111. |
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| 作者姓名： | 郭良栋 沙秋夫 何希勤 |
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| 作者单位： | 鞍山科技大学理学院，鞍山科技大学理学院，鞍山科技大学理学院 辽宁鞍山 114044，辽宁鞍山 114044，辽宁鞍山 114044 |
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| 摘 要： | 区间矩阵稳定性问题是控制理论中十分棘手又无法回避的问题。利用向量比较原理，讨论了连续区间系统的稳定性，得到了区间矩阵Hurwitz稳定的充分(充要)条件。如果由区间矩阵端点构造的检验矩阵A0 D Hurwitz稳定，则区问矩阵Hurwitz稳定。
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| 关 键 词： | 区问系统 区间矩阵 Hurwitz稳定 向量比较原理 |
| 文章编号： | 1672-4410(2005)02-0108-04 |
| 修稿时间： | 2004年11月24日 |
A necessary and sufficient conditions and a sufficient conditions of the Hurwitz stability of interval matrices |
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| GUO Liang-dong,SHA Qiu-fu,HE Xi-qin.A necessary and sufficient conditions and a sufficient conditions of the Hurwitz stability of interval matrices[J].Journal of Anshan University of Science and Technology,2005,28(2):108-111. |
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| Authors: | GUO Liang-dong SHA Qiu-fu HE Xi-qin |
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| Abstract: | The problem of stability of interval matrix in control theory is difficult and unavoidable.In terms of vector comparison principle,Hurwitz stability of interval matrix was discussed on the target of continuous interval system.And a sufficient condition and a necessary and sufficient condition of Hurwitz stability of interval matrices were obtained,that is if the text matrix A_0+D is Hurwitz stability,which is structured by the vertex of interval matrix,then the interval matrix is Hurwith stability. |
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| Keywords: | interval system interval matrix Hurwitz stability vector comparison principle |
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