ON THE STABILITY OF UNCERTAIN POLYNOMIALS WITH DEPENDENT COEFFICIENTS

被引：13

作者：

PUJARA, LR

机构：

[1] Department of Electrical Engineering, Wright State University

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1990年 / 35卷 / 06期

关键词：

Mathematical Techniques--Polynomials;

D O I：

10.1109/9.53563

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The thrust of the main theorem of the paper is to give a sufficient condition for reducing the conservatism of the stability bounds for a family of polynomials with dependent coefficients, including nonlinear coefficients. It is also proved that if a finite family of stable polynomials has the same even part, then the polynomial with the even part and the odd part formed by adding any positive multiple of the even parts and odd parts, respectively, of the given family is also stable. A similar result holds if the given family of polynomials has the same odd part. © 1990 IEEE

引用

页码：756 / 759

页数：4

共 9 条

[1]

Barlett AC, 1988, MATH CONTROL SIGNAL, V1, P61

[2] INVARIANCE OF THE STRICT HURWITZ PROPERTY FOR POLYNOMIALS WITH PERTURBED COEFFICIENTS [J].