| 引用本文: | 郭 磊,赵克友.零点位于左扇区的多项式菱形族[J].控制理论与应用,1993,10(4):479~483.[点击复制] |
| GUO Lei,ZHAO Keyou.Diamond Families of Polynomials with Zeroes in the Left Sector[J].Control Theory and Technology,1993,10(4):479~483.[点击复制] |
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| 零点位于左扇区的多项式菱形族 |
| Diamond Families of Polynomials with Zeroes in the Left Sector |
| 摘要点击 1227 全文点击 478 投稿时间：1992-03-07 修订日期：1992-09-02 |
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| DOI编号 |
| 1993,10(4):479-483 |
| 中文关键词 多项式 稳定性 鲁棒性 |
| 英文关键词 polynomials stability robustness |
| 基金项目 |
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| 中文摘要 |
| 本文考虑项式菱形族y的左扇区稳定性。证明了多项式族y左扇区稳定的充分必要条件是y的至少4q（q-1）条特殊棱边左扇区稳定；进一步，在一定条件下，只要检验y的4q个顶点多项式就可确定y的左扇区稳定性。 |
| 英文摘要 |
| The paper considers D-stability of y where D is a left sector in the complex plane and y a diamond of perturbed polynomials. The paper shows that in order to check D-stability of y, it suffices to check the 4q（q-1）specific edges of y. Furthermore, under the mild conditions, it suffices to check the 4q specific vertices of y. |
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