Robust stability of polynomials with multilinear parameter dependence
作者:
F. J. KRAUS,
B. D. O. ANDERSON,
M. MANSOUR,
期刊:
International Journal of Control
(Taylor Available online 1989)
卷期:
Volume 50,
issue 5
页码: 1745-1762
ISSN:0020-7179
年代: 1989
DOI:10.1080/00207178908953463
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The problem is studied of testing for stability a class of real polynomials in which the coefficients depend on a number of variable parameters in a multilinear way. We show that the testing for real unstable roots can be achieved by examining the stability of a finite number of corner polynomials (obtained by setting parameters at their extreme values), while checking for unstable complex roots normally involves examining the real solutions of up to m + 1 simultaneous polynomial equations, where m is the number of parameters. When m = 2, this is an especially simple task.
点击下载:
PDF (557KB)
返 回