Vortrag Dr. Jan Friedrich

von Dr. Jan Friedrich, RWTH Aachen

Titel:
Lyapunov stabilization of nonlocal traffic flow models

Abstract:
Due to the technological progress in autonomous vehicles, nonlocal
traffic flow models have become very popular in recent years. Although
they have been well studied in terms of modeling, existence, and
uniqueness, only a few works on control exist. In this talk, we
present an approach to steer the dynamics of a second-order nonlocal
traffic flow model towards a steady state. Thereby, we will focus on
both the microscopic and the macroscopic modeling. The system is
controlled by the leading vehicle and the right boundary,
respectively. In particular, we present Lyapunov functions for both
scales, which give us explicit rates at which the system converges
towards the steady state. We emphasize the theoretical results with
several numerical examples.