4 papers
Fredholm transformation on Laplacian and rapid stabilization for the heat equation
Ludovick Gagnon, Amaury Hayat, Shengquan Xiang +1
We study the rapid stabilization of the heat equation on the 1-dimensional torus using the backstepping method with a Fredholm transformation. We prove that, under some assumption…
Periodic points on the regular and double -gon surfaces
Paul Apisa, Rafael M. Saavedra, Christopher Zhang
Using the transfer principle, we classify the periodic points on the regular -gon and double -gon translation surfaces and deduce consequences for the finite blocking problem…
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback
Christophe Zhang
We use the backstepping method to study the stabilization of a 1-D linear transport equation on the interval (0, L), by controlling the scalar amplitude of a piecewise regular func…
Internal control of systems of semilinear coupled 1-D wave equations
Christophe Zhang
We prove the internal controllability of some systems of two coupled wave equations in one space dimension, with one control, under certain conditions on the coupling. To do this w…