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...
Principais autores: | D'Costa, J, Lefaucheux, E, Ouaknine, J, Worrell, J |
---|---|
Formato: | Conference item |
Idioma: | English |
Publicado em: |
Schloss Dagstuhl
2020
|
Registros relacionados
-
On the complexity of the Escape Problem for linear dynamical systems over compact semialgebraic sets
por: D'Costa, J, et al.
Publicado em: (2021) -
Bounding the escape time of a linear dynamical system over a compact semialgebraic set
por: D'Costa, J, et al.
Publicado em: (2022) -
On the polytope escape problem for continuous linear dynamical systems
por: Ouaknine, J, et al.
Publicado em: (2017) -
The polytope-collision problem
por: Almagor, S, et al.
Publicado em: (2017) -
Porous invariants
por: Lefaucheux, E, et al.
Publicado em: (2021)