Finite-time internal stabilization of a linear 1-D transport equation
Résumé
We consider a 1-D linear transport equation on the interval (0, L), with an internal scalar control. We prove that if the system is controllable in a periodic Sobolev space of order greater than 1, then the system can be stabilized in finite time, and we give an explicit feedback law.
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_SCL__Finite_time_internal_stabilization_of_a_linear_1_D_transport_equation(1).pdf (389.27 Ko)
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