How fast can you escape a compact polytope?

The Continuous Polytope Escape Problem (CPEP) asks whether every trajectory of a linear differential equation initialised within a convex polytope eventually escapes the polytope. We provide a polynomial-time algorithm to decide CPEP for compact polytopes. We also establish a quantitative uniform up...

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Bibliographic Details
Main Authors: D'Costa, J, Lefaucheux, E, Ouaknine, J, Worrell, J
Format: Conference item
Language:English
Published: Schloss Dagstuhl 2020