2 citations · 3 across the 4 of their papers we have counts for
4 papers
High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations
Bernard Kapidani, Rafael Vázquez
We introduce a high-order spline geometric approach for the initial boundary value problem for Maxwell's equations. The method is geometric in the sense that it discretizes in stru…
Output Feedback Control of Radially-Dependent Reaction-Diffusion PDEs on Balls of Arbitrary Dimensions
Rafael Vazquez, Jing Zhang, Jie Qi +1
Recently, the problem of boundary stabilization and estimation for unstable linear constant-coefficient reaction-diffusion equation on n-balls (in particular, disks and spheres) ha…
Rapid Stabilization of Timoshenko Beam by PDE Backstepping
Guangwei Chen, Rafael Vazquez, Miroslav Krstic
In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the uncontrolled boundary, by using PDE backstepping. We intro…
Local exponential H^2 stabilization of a 2X2 quasilinear hyperbolic system using backstepping
Jean-Michel Coron, Rafael Vazquez, Miroslav Krstic +1
In this work, we consider the problem of boundary stabilization for a quasilinear 2X2 system of first-order hyperbolic PDEs. We design a new full-state feedback control law, with a…