Bounding the escape time of a linear dynamical system over a compact semialgebraic set

We study the Escape Problem for discrete-time linear dynamical systems over compact semialgebraic sets. We establish a uniform upper bound on the number of iterations it takes for every orbit of a rational matrix to escape a compact semialgebraic set defined over rational data. Our bound is doubly e...

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Bibliographic Details
Main Authors: D'Costa, J, Lefaucheux, E, Neumann, E, Ouaknine, J, Worrell, J
Format: Conference item
Language:English
Published: Schloss Dagstuhl – Leibniz-Zentrum für Informatik 2022
Subjects: