We consider a linear system composed of N + 1 one dimensional heat equations connected by pointmass-like interface conditions. Assume an L 2 Dirichlet boundary control at one end, and Dirichlet boundary condition on the other end. Given any L 2 -type initial temperature distribution, we show that the system is null controllable in arbitrarily small time. The proof uses known ...

We consider a linear system composed of N + 1 one dimensional heat equations connected by pointmass-like interface conditions. Assume an L 2 Dirichlet boundary control at one end, and Dirichlet boundary condition on the other end. Given any L 2 -type initial temperature distribution, we show that the system is null controllable in arbitrarily small time. The proof uses known ...