Impulse output rapid stabilization for heat equations
Résumé
In this paper, we study the output rapid stabilization for heat equations with lower terms. Our controls are active in a subdomain and at discrete time points, while our observations are made in another subdomain and at discrete time points which are ahead of control time points. Through studying a kind of minimal norm impulse control problems, we not only build up, for each decay rate, a feedback law, but also provide bounds for feedback laws in terms of decay rates. In the studies of the above-mentioned minimal norm impulse control problems, the unique continuation estimate at one time point, as well as some new observations on it, plays an important role.
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