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We analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the dynamics of the system by switching from an actuator to another in a systematic way so that, at ...
Observability of heat processes by transmutation without geometric restrictions
The goal of this note is to explain how transmutation techniques (originally introduced in  in the context of the control of the heat equation, inspired on the classical Kannai transform, and recently revisited in  ...
The asymptotic behaviour of the heat equation in a twisted Dirichlet-Neumann waveguide
We consider the heat equation in a straight strip, subject to a combination of Dirichlet and Neumann boundary conditions. We show that a switch of the respective boundary conditions leads to an improvement of the decay ...
Regularity issues for the null-controllability of the linear 1-d heat equation
The fact that the heat equation is controllable to zero in any bounded domain of the Euclidean space, any time T>0 and from any open subset of the boundary is well known. On the other hand, numerical experiments show ...