3 papers
math.AP2026
Quantitative rapid boundary stabilization via modal decomposition and its application to the Allen-Cahn equation
Shengquan Xiang, Yu Xiao, Can Zhang
We investigate quantitative rapid stabilization for the one-dimensional Allen--Cahn equation and develop a quantitative modal decomposition approach that makes explicit the depende…
math.OC2026
Quantitative rapid stabilization for parabolic equations via the linear quadratic theory
Shengquan Xiang, Yu Xiao, Can Zhang
This paper addresses the problem of quantitative rapid stabilization via the linear quadratic (LQ) theory. Specifically, for non-self-adjoint parabolic equations, by virtue of the…
math.OC2026
Quantitative Fredholm backstepping and rapid stabilization
Ludovick Gagnon, Amaury Hayat, Swann Marx +2
In this paper, we address the existence of Fredholm backstepping transformations for self-adjoint and skew-adjoint operators . Under suitable assumptions on the operator and…