97 citations · 403 across the 15 of their papers we have counts for
6 papers · 1 filter
Verification of Neural-Network Control Systems by Integrating Taylor Models and Zonotopes
Christian Schilling, Marcelo Forets, Sebastian Guadalupe
We study the verification problem for closed-loop dynamical systems with neural-network controllers (NNCS). This problem is commonly reduced to computing the set of reachable state…
Efficient reachability analysis of parametric linear hybrid systems with time-triggered transitions
Marcelo Forets, Daniel Freire, Christian Schilling
Efficiently handling time-triggered and possibly nondeterministic switches for hybrid systems reachability is a challenging task. In this paper we present an approach based on cons…
Reachability analysis of linear hybrid systems via block decomposition
Sergiy Bogomolov, Marcelo Forets, Goran Frehse +2
Reachability analysis aims at identifying states reachable by a system within a given time horizon. This task is known to be computationally expensive for linear hybrid systems. Re…
JuliaReach: a Toolbox for Set-Based Reachability
Sergiy Bogomolov, Marcelo Forets, Goran Frehse +2
We present JuliaReach, a toolbox for set-based reachability analysis of dynamical systems. JuliaReach consists of two main packages: Reachability, containing implementations of rea…
Reach Set Approximation through Decomposition with Low-dimensional Sets and High-dimensional Matrices
Sergiy Bogomolov, Marcelo Forets, Goran Frehse +3
Approximating the set of reachable states of a dynamical system is an algorithmic yet mathematically rigorous way to reason about its safety. Although progress has been made in the…
Occupation measure methods for modelling and analysis of biological hybrid automata
Alexandre Rocca, Marcelo Forets, Victor Magron +2
Mechanistic models in biology often involve numerous parameters about which we do not have direct experimental information. The traditional approach is to fit these parameters usin…