5 citations · 5 across the 3 of their papers we have counts for
4 papers
Backstepping Control of the One-Phase Stefan Problem
Shumon Koga, Mamadou Diagne, Shuxia Tang +1
In this paper, a backstepping control of the one-phase Stefan Problem, which is a 1-D diffusion Partial Differential Equation (PDE) defined on a time varying spatial domain describ…
Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold
Shuxia Tang, Jixun Chu, Peipei Shang +1
Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg-de Vries equation posed on a finite interval . Th…
State Feedback Stabilization of the Linearized Bilayer Saint-Venant Model
Ababacar Diagne, Shuxia Tang, Mamadou Diagne +1
We consider the problem of stabilizing the bilayer \textit{Saint-Venant} model, which is a coupled system of two rightward and two leftward convecting transport partial differentia…
Backstepping Stabilization of the Linearized Saint-Venant-Exner Model
Ababacar Diagne, Mamadou Diagne, Shuxia Tang +1
Using the backstepping design, we achieve exponential stabilization of the coupled Saint-Venant-Exner (SVE) PDE model of water dynamics in a sediment-filled canal with arbitrary va…