多项式Schur稳定性的最大摄动区间

MAXIMAL PERTURBATION INTERVAL FOR SCHUR STABILITY OF POLYNOMIALS

已知摄动多项式，其中诸系数ａｉ（ｒ）（ｉ＝０，１，……，ｎ）皆为实变量ｒ的多项式函数，又设标称多项式ｐ（ｚ，０）是Ｓｃｈｕｒ稳定的．这里给出最大振动区间（ｒ（ｍｉｎ），ｒ（ｍａｘ））的计算方法，以使对这区间中的所有ｒ，多项式外ｐ（ｚ，ｒ）都是Ｓｃｈｕｒ稳定的．

Given perturbed polynomials, Where the coefficients ai(r),i = 0, 1,…,n, are polynomial functions .of a real variable r, and suppose also thenominal polynomial p(z, 0) is Schur stable, this paper gives a simple method forcalculating the maximal perturbation interval (r(min),r(max) so that the polynomialsp(z,r) are Schur stable for all r within the interval.