MINES ParisTech CAS - Centre automatique et systèmes

NULL CONTROLLABILITY FOR THE HEAT EQUATION IN ONE DIMENSION VIA BACKSTEPPING APPROACH

Séance du jeudi 6 décembre 2018, Salle L312, 14h00-15h00

Hoai-Minh NGUYEN, EPFL, Suisse

In this talk, I discuss the null controllability for the heat equations with variable coefficients in space in one dimension using the backstepping approach. To achieve the null controllability, the idea is to use a sequence of kernels where the damping constants go to infinity. The analysis is then based on a new proof of the well-posedness and the optimal bound with respect to damping constants for the solutions of the kernel equations.
This is joint work with Jean-Michel Coron.
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