Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law
Annales de l'I.H.P. Analyse non linéaire, Volume 30 (2013) no. 5, pp. 879-915.

In this paper, we study the problem of asymptotic stabilization by closed loop feedback for a scalar conservation law with a convex flux and in the context of entropy solutions. Besides the boundary data, we use an additional control which is a source term acting uniformly in space.

DOI: 10.1016/j.anihpc.2012.12.003
Keywords: Asymptotic stabilization, Conservation law, Entropy solution, Generalized characteristics, PDE control
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Perrollaz, Vincent. Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law. Annales de l'I.H.P. Analyse non linéaire, Volume 30 (2013) no. 5, pp. 879-915. doi : 10.1016/j.anihpc.2012.12.003. http://archive.numdam.org/articles/10.1016/j.anihpc.2012.12.003/

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