Stabilization of the wave equation by on-off and positive-negative feedbacks
Patrick Martinez, Judith Vancostenoble (2002)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Motivated by several works on the stabilization of the oscillator by on-off feedbacks, we study the related problem for the one-dimensional wave equation, damped by an on-off feedback . We obtain results that are radically different from those known in the case of the oscillator. We consider periodic functions : typically is equal to on , equal to on and is -periodic. We study the boundary case and next the locally distributed case, and we give optimal results of stability....