Résumé

We study the asymptotic behavior of scalar conservation laws with local side constraints. Our aim is to construct boundary feedback laws that globally stabilize G-solutions of scalar conservation laws around a given stationary solution. To that end, we will extend the notion of generalized characteristics to G-solutions. In the context of vehicular traffic, this leads to stabilize the traffic flow using fixed bottlenecks (tolls) around a given target function.  Simulations using adapted Godunov scheme will be given to illustrate the results. 

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