120 citations · 243 across the 55 of their papers we have counts for
14 papers · 1 filter
Derivation and stability analysis of macroscopic multi-lane models for vehicular traffic flow
Matteo Piu, Michael Herty, Gabriella Puppo
The mathematical modeling and the stability analysis of multi-lane traffic in the macroscopic scale is considered. We propose a new first order model derived from microscopic dynam…
Data-Driven Models for Traffic Flow at Junctions
Michael Herty, Niklas Kolbe
The simulation of traffic flow on networks requires knowledge on the behavior across traffic intersections. For macroscopic models based on hyperbolic conservation laws there exist…
Robust feedback stabilization of interacting multi-agent systems under uncertainty
Giacomo Albi, Michael Herty, Chiara Segala
We consider control strategies for large-scale interacting agent systems under uncertainty. The particular focus is on the design of robust controls that allow to bound the varianc…
Central schemes for networked scalar conservation laws
Michael Herty, Niklas Kolbe, Siegfried Müller
We propose a novel scheme to numerically solve scalar conservation laws on networks without the necessity to solve Riemann problems at the junction. The scheme is derived using the…
Lyapunov stabilization for nonlocal traffic flow models
Jan Friedrich, Simone Göttlich, Michael Herty
Using a nonlocal second-order traffic flow model we present an approach to control the dynamics towards a steady state. The system is controlled by the leading vehicle driving at a…
An adaptive consensus based method for multi-objective optimization with uniform Pareto front approximation
Giacomo Borghi, Michael Herty, Lorenzo Pareschi
In this work we are interested in stochastic particle methods for multi-objective optimization. The problem is formulated using parametrized, single-objective sub-problems which ar…