Special Session 32: 

Control of nonlocal balance laws

Michael Herty
RWTH Aachen University
Germany
Co-Author(s):    Michael Herty, Stephan Gerster
Abstract:
We are interested in control aspects of nonlocal balance laws that appear e.g. in traffic flow or production networks. In this talk we exploit the underlying microscopic interpretation of some nonlocal balance laws to develop novel control concepts on the micro scala that translate to the hydro-dynamic limit. Besides theoretical results we also present numerical simulation results as well as some analysis on the derived schemes.