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List of works by Rafael Vazquez

A Closed-Form Feedback Controller for Stabilization of the Linearized 2-D Navier–Stokes Poiseuille System

A Closed-Form Full-State Feedback Controller for Stabilization of 3D Magnetohydrodynamic Channel Flow

Backstepping Boundary Control of Navier-Stokes Channel Flow: Explicit Gain Formulae in 3D

Backstepping boundary control of Navier-Stokes channel flow: a 3D extension

Boundary Control of Coupled Reaction-Advection-Diffusion Systems With Spatially-Varying Coefficients

Boundary Exponential Stabilization of 1-Dimensional Inhomogeneous Quasi-Linear Hyperbolic Systems

scientific article published in 2019

Boundary Observer for Output-Feedback Stabilization of Thermal-Fluid Convection Loop

Boundary control and estimation of reaction–diffusion equations on the sphere under revolution symmetry conditions

Boundary control of a singular reaction-diffusion equation on a disk

Boundary control of coupled reaction-diffusion systems with spatially-varying reaction

article published in 2016

Control of 1-D parabolic PDEs with Volterra nonlinearities, Part I: Design

Control of 1D parabolic PDEs with Volterra nonlinearities, Part II: Analysis

Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs

Explicit integral operator feedback for local stabilization of nonlinear thermal convection loop PDEs

Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls

Folding Bilateral Backstepping Output-Feedback Control Design for an Unstable Parabolic PDE

scientific article published in 2022

Higher Order Stability Properties of a 2D Navier Stokes System with an Explicit Boundary Controller

Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping

Magnetohydrodynamic state estimation with boundary sensors

Marcum -functions and explicit kernels for stabilization of linear hyperbolic systems with constant coefficients

Multi-Agent Deployment in 3-D via PDE Control

Nonlinear Control of the Viscous Burgers Equation: Trajectory Generation, Tracking, and Observer Design

Nonlinear Stabilization of Shock-Like Unstable Equilibria in the Viscous Burgers PDE

Nonlinear control of the Burgers PDE—Part I: Full-state stabilization

Nonlinear control of the Burgers PDE—Part II: Observer design, trajectory generation, and tracking

Sensing schemes for state estimation in turbulent flows and flexible structures

Stabilization of a System of $n+1$ Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input

Stabilization of linearized 2D magnetohydrodynamic channel flow by backstepping boundary control

Thermal convection loop control by continuous backstepping and singular perturbations

Transfer Function Analysis of the Micro Cantilever Used in Atomic Force Microscopy

scientific article published in November 2006