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]
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 964  全文点击 389  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  
作者单位
郭 磊,赵克友 青岛大学应用数学系 
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.