DAMPING MARGINS OF POLYNOMIALS WITH PERTURBED COEFFICIENTS

被引：18

作者：

SOH, CB ^{[1
]}

BERGER, CS ^{[1
]}

机构：

[1] MONASH UNIV,DEPT ELECT ENGN,CLAYTON,VIC 3168,AUSTRALIA

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1988年 / 33卷 / 05期

关键词：

SYSTEM STABILITY;

D O I：

10.1109/9.1242

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Consider the polynomial P(s) equals t//0S**n plus t//1 S**n** minus **1 plus **. **. **. plus t//n where 0 less than a//j less than equivalent to t//j less than equivalent to b//j. Recently, V. L. Kharitonov (1978) derived a necessary and sufficient condition for this polynomial to have only zeros in the open left-half plane. Two lemmas are derived to investigate the existence of theorems similar to the theorem of Kharitonov. Using these lemmas, the theorem of Kharitonov is generalized for P (s) to have only zeros within a sector in the complex plane. The aperiodic case is also considered.

引用

页码：509 / 511

页数：3