Aperiodicity determinants expressed in terms of roots
作者:
A. T. FULLER,
期刊:
International Journal of Control
(Taylor Available online 1988)
卷期:
Volume 47,
issue 6
页码: 1571-1593
ISSN:0020-7179
年代: 1988
DOI:10.1080/00207178808906122
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In known set of necessary and sufficient conditions for a linear system to be aperiodic, certain determinants are required to be positive. In the present paper these determinants are represented as sums of products of squares of root-pair-differences. The historical background of this result in nineteenth-century algebra is explored. Criteria are also obtained for roots to be all real without being necessarily simple.
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