5 citations · 12 across the 3 of their papers we have counts for
5 papers
Backstepping Control of a Hyperbolic PDE System with Zero Characteristic Speed States
Gustavo A. de Andrade, Rafael Vazquez, Iasson Karafyllis +1
While for coupled hyperbolic PDEs of first order there now exist numerous PDE backstepping designs, systems with zero speed, i.e., without convection but involving infinite-dimensi…
Bilateral Boundary Control Design for a Cascaded Diffusion-ODE System Coupled at an Arbitrary Interior Point
Stephen Chen, Rafael Vazquez, Miroslav Krstic
We present a methodology for designing bilateral boundary controllers for a class of systems consisting of a coupled diffusion equation with an unstable ODE at an arbitrary interio…
Folding Bilateral Backstepping Output-Feedback Control Design For an Unstable Parabolic PDE
Stephen Chen, Rafael Vazquez, Miroslav Krstic
We present a novel methodology for designing output-feedback backstepping boundary controllers for an unstable 1-D diffusion-reaction partial differential equation with spatially-v…
Nonlinear Bilateral Output-Feedback Control for a Class of Viscous Hamilton-Jacobi PDEs
Nikolaos Bekiaris-Liberis, Rafael Vazquez
We tackle the boundary control and estimation problems for a class of viscous Hamilton-Jacobi PDEs, considering bilateral actuation and sensing, i.e., at the two boundaries of a 1-…
Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
Long Hu, Florent Di Meglio, Rafael Vazquez +1
Research on stabilization of coupled hyperbolic PDEs has been dominated by the focus on pairs of counter-convecting ("heterodirectional") transport PDEs with distributed local coup…