Switching CTM for mode dependent travel delay minimisation

Other conference contribution, 2016

The Lighthill-Whitham-Richards (LWR) model, provides the most simple, first-order description of continuum traffic flow. The consistent numeric solution of the LWR model is the Godunov-scheme, leading to Cell Transmission model. In the discrete model, state dynamics are represented through Godunov fluxes, the flow values between neighbouring segments. The non-continuous model has been formalized and analyzed as a switching system in a number of works. Although these descriptions of the model have been used for control synthesis, they use simplifying assumptions on the initial or the boundary conditions. The model is formalized as a switching system in for uncontrolled systems, assuming arbitrary initial and boundary conditions.