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On affine reducibility of combinatorial polytopes

✍ Scribed by A. N. Maksimenko

Book ID
114993244
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
176 KB
Volume
85
Category
Article
ISSN
1064-5624

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The paper studies reachability problem of autonomous affine systems on n-dimensional polytopes. Our goal is to obtain both the largest positive invariant set in the polytope and the backward reachable set (the attraction domain) of each facet. Special attention is paid to the largest stable invarian