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RWTH Publication No: 855808 2022   |
TITLE |
Lyapunov stabilization of a nonlocal LWR traffic flow model |
AUTHORS |
Jan Friedrich |
ABSTRACT |
Using a nonlocal macroscopic LWR-type traffic flow model, we present an approach to control the nonlocal velocity towards a given equilibrium velocity. Therefore, we present a Lyapunov function measuring the L2 distance between these velocities. We compute the explicit rate at which the system tends towards the stationary speed. The traffic is controlled by a leading vehicle. Numerical examples demonstrate the theoretical results and possible extensions of them. |
KEYWORDS |
Lyapunov stabilization, nonlocal models, LWR model, macroscopic traffic flow |
DOI |
10.1002/pamm.202200084 |