Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2012

Exact Controllability of Scalar Conservation Laws with an Additional Control in the Context of Entropy Solutions

Résumé

In this paper, we study the exact controllability problem for nonlinear scalar con-servation laws on a compact interval, with a regular convex flux and in the framework of entropy solutions. With the boundary data and a source term depending only on the time as controls, we provide sufficient conditions for a state to be reachable in arbitrary small time. To do so we introduce a slightly modified wave-front tracking algorithm.

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hal-01108950 , version 1 (23-01-2015)

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Vincent Perrollaz. Exact Controllability of Scalar Conservation Laws with an Additional Control in the Context of Entropy Solutions. SIAM Journal on Control and Optimization, 2012, 50, pp.2025 - 2045. ⟨10.1137/110833129⟩. ⟨hal-01108950⟩
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