43 citations · 85 across the 3 of their papers we have counts for
4 papers
Null boundary controllability of a 1-dimensional heat equation with an internal point mass
Scott W. Hansen, Jose de Jesus Martinez
We consider a linear hybrid system composed by two rods of equal length connected by a point mass. We show that the system is null controllable with Dirichlet and Neumann controls.…
Modeling of a heat equation with a Dirac density
Scott W. Hansen, Jose de Jesus Martinez
We consider a linear hybrid system composed by two rods connected by a thin wall of length 2ε and density 1/2ε. By passing to a limit, we obtain a system describing heat flow of tw…
Exact boundary controllability results for a multilayer Rao-Nakra sandwich beam
A. Ozkan Ozer, Scott W. Hansen
We study the boundary controllability problem for a multilayer Rao-Nakra sandwich beam. This beam model consists of a Rayleigh beam coupled with a number of wave equations. We cons…
Uniform stabilization of a multilayer Rao-Nakra sandwich beam
Ahmet Ozkan Ozer, Scott W. Hansen
We consider the problem of boundary feedback stabilization of a multilayer Rao-Nakra sandwich beam. We show that the eigenfunctions of the decoupled system form a Riesz basis. This…