Asymptotic stabilization of entropy solutions to scalar conservation laws through a stationary feedback law

作者：Perrollaz Vincent^*

来源：ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2013, 30(5): 879-915.

DOI：10.1016/j.anihpc.2012.12.003

• Asymptotic stabilization
• Conservation law
• Entropy solution
• Generalized characteristics
• PDE control

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.

• 出版日期2013-10