Robust Schur polynomial stability and Kharitonov's theorem
作者:
F. KRAUS,
B. D. O. ANDERSON,
M. MANSOUR,
期刊:
International Journal of Control
(Taylor Available online 1988)
卷期:
Volume 47,
issue 5
页码: 1213-1225
ISSN:0020-7179
年代: 1988
DOI:10.1080/00207178808906089
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The paper considers robust stability properties for Schur polynomials of the form. By plotting coefficient variations in planes defined by variablei-o pairs a,-, an.{ for each i and requiring in each such plane the region of obtained coefficients to be bounded by lines of slope 45°, 90° and 135°, we show that stability for all polynomials defined by corner points is necessary and sufficient for stability of all polynomials defined by any points in the region. Using this idea, one can construct several necessity and differing sufficiency conditions for the stability of polynomials where each aIcan vary independently in an interval [ai, āi]. As the sufficiency conditions become closer to necessity conditions the number of distinct polynomials for which stability has to be tested increases.
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