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Artículo
A closed-form feedback controller for stabilization of magnetohydrodynamic channel flow
(Institute of Electrical and Electronics Engineers (IEEE), 2009)
We present a PDE boundary controller that stabilizes the velocity, pressure, and electromagnetic fields in a magnetohydrodynamic (MHD) channel flow, also known as Hartmann flow, a benchmark model for applications such as ...
Artículo
Control of 1-D parabolic PDEs with Volterra nonlinearities, Part I: Design
(Elsevier, 2008)
Boundary control of nonlinear parabolic PDEs is an open problem with applications that include fluids, thermal, chemically-reacting, and plasma systems. In this paper we present stabilizing control designs for a broad class ...
Artículo
Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
(Society for Industrial and Applied Mathematics, 2013)
In this work, we consider the problem of boundary stabilization for a quasilinear 2 × 2 system of first-order hyperbolic PDEs. We design a new full-state feedback control law, with actuation on only one end of the domain, ...