零点位于左扇区的多项式菱形族

Diamond Families of Polynomials with Zeroes in the Left Sector

本文考虑多项式菱形族的左扇区稳定性,证明了多项式族左扇区稳定的充分必要条件是的至多4q(q—1)条特殊棱边左扇区稳定;进一步,在一定条件下,只要检验的4q个顶点多项式就可确定的左扇区稳定性。

The paper considers D(?) stability of (?) where D(?) is a left sector in the complex plane and (?) a diamond of perturbed polynomials. The paper shows that in order to check D(?)-stability of (?), it suffices to check the 4q(q-1) specific edges of (?). Furthermore, under the mild conditions, it suffices to check the 4q specific verticesof (?).