120 citations · 477 across the 86 of their papers we have counts for
7 papers · 1 filter
Computation of the maximal invariant set of discrete-time linear systems subject to a class of non-convex constraints
Zheming Wang, Raphaël M. Jungers, Chong-Jin Ong
We consider the problem of computing the maximal invariant set of discrete-time linear systems subject to a class of non-convex constraints that admit quadratic relaxations. These…
Data-driven computation of invariant sets of discrete time-invariant black-box systems
Zheming Wang, Raphaël M. Jungers
We consider the problem of computing the maximal invariant set of discrete-time black-box nonlinear systems without analytic dynamical models. Under the assumption that the system…
An entropy-based bound for the computational complexity of a switched system
Benoît Legat, Pablo A. Parrilo, Raphaël M. Jungers
The joint spectral radius (JSR) of a set of matrices characterizes the maximal asymptotic growth rate of an infinite product of matrices of the set. This quantity appears in a numb…
Optimal Intermittent Measurements for Tumor Tracking in X-ray Guided Radiotherapy
Antoine Aspeel, Damien Dasnoy, Raphaël M. Jungers +1
In radiation therapy, tumor tracking is a challenging task that allows a better dose delivery. One practice is to acquire X-ray images in real-time during treatment, that are used…
A linear bound on the k-rendezvous time for primitive sets of NZ matrices
Costanza Catalano, Umer Azfar, Ludovic Charlier +1
A set of nonnegative matrices is called primitive if there exists a product of these matrices that is entrywise positive. Motivated by recent results relating synchronizing automat…
Non-local Linearization of Nonlinear Differential Equations via Polyflows
R. M. Jungers, P. Tabuada
Motivated by the mathematics literature on the algebraic properties of so-called polynomial vector flows, we propose a technique for approximating nonlinear differential equations…