activity
20122026
most citedOptimization-based Motion Planning in Virtual Driving Scenarios with Application to Communicating Autonomous Vehicles

4 citations · 12 across the 10 of their papers we have counts for

collaborators

10 papers

eess.SY2026

A Vehicle Routing Problem for Human-Centered Electric Mobility

Mostafa Emam, Björn Martens, Thomas Rottmann +1

In this paper, we present the Electric Mobility Dial-a-Ride Problem (EM-DARP), which extends the Electric Vehicle Dial-a-Ride Problem (EV-DARP) to better accommodate human-focused…

math.OC2023★ 1 cited

Piecewise linear value function approximations in nonlinear dynamic scheduling problems with VTOLs

Viktoriya Nikitina, Sergejs Rogovs, Matthias Gerdts

Modern vertical take-off and landing vehicles (VTOLs) could significantly affect the future of mobility. The broad range of their application fields encompasses urban air mobility,…

math.OC2022★ 3 cited

Risk-based path planning for autonomous vehicles

Qiannan Wang, Matthias Gerdts

In this paper, a risk map-based path planning algorithm is introduced for autonomous vehicles. Multivariate B-splines are implemented to generate a risk map, which measures the ris…

math.OC2019

Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach

Ilaria Xausa, Robert Baier, Olivier Bokanowski +1

We consider the problem of computing safety regions, modeled as nonconvex backward reachable sets, for a nonlinear car collision avoidance model with time-dependent obstacles. The…

math.OC2018★ 1 cited

Numerical experiments with multistep model-predictive control approaches and sensitivity updates for the tracking control of cars

Matthias Gerdts

The paper discusses multistep nonlinear model-predictive control (NMPC) schemes for the tracking of a car model along a given reference track. In particular we will compare the num…

math.OC2018★ 4 cited

Optimization-based Motion Planning in Virtual Driving Scenarios with Application to Communicating Autonomous Vehicles

Matthias Gerdts, Björn Martens

The paper addresses the problem of providing suitable reference trajectories in motion planning problems for autonomous vehicles. Among the various approaches to compute a referenc…