Displaying similar documents to “Differential algebraic equations of Filippov type”

On a traffic problem

Buřič, Lubor, Janovský, Vladimír

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We consider a macroscopic follow-the-leader model of a road traffic. The novelty is that we incorporate the possibility to overtake a slower car. We introduce two ways to simulate overtaking. One is based on swapping initial conditions after the overtaking occurs. Second approach is to formulate the problem as a Filippov system with discontinuous right-hand sides.