Set-theoretic approach to uncertain dynamical systems using convex polytopes
作者:
TETSUZO TANINO,
JUN'ICHIRO OHTA,
期刊:
International Journal of Systems Science
(Taylor Available online 1989)
卷期:
Volume 20,
issue 10
页码: 1859-1873
ISSN:0020-7721
年代: 1989
DOI:10.1080/00207728908910270
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A set-theoretic approach to uncertain dynamical systems by using convex polytopes is treated. In some points, this approach is superior to the one using ellipsoids, though it also has some disadvantages. First, some fundamental operations are discussed, such as addition, intersection, and the linear transformation of convex polytopes. The results are applied to the analysis of reachable sets for discrete-time linear dynamical systems and also to the state estimation.
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