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Mostrando ítems 1-10 de 11
Artículo
A Closed-Form Feedback Controller for Stabilization of the Linearized 2D Navier-Stokes Poisseuille System
(Institute of Electrical and Electronics Engineers (IEEE), 2005)
We present a formula for a boundary control law which stabilizes the parabolic profile of an infinite channel flow, which is linearly unstable for high Reynolds numbers. Also known as the Poisseuille flow, this problem ...
Artículo
Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
(Institute of Electrical and Electronics Engineers (IEEE), 2016)
Research on stabilization of coupled hyperbolic PDEs has been dominated by the focus on pairs of counter-convecting (“heterodirectional”) transport PDEs with distributed local coupling and with controls at one or both ...
Artículo
Multi-agent deployment in 3-D via reaction–diffusion system with radially-varying reaction
(Elsevier, 2024-01)
This paper considers the problem of the deployment of a set of agents distributed on a disk-shaped grid onto three-dimensional (3-D) profiles, by using a continuum approximation (valid in the limit for a large number of ...
Artículo
Explicit output-feedback boundary control of reaction-diffusion PDEs on arbitrary-dimensional balls
(Société de Mathématiques Appliquées et Industrielles (SMAI), 2016)
This paper introduces an explicit output-feedback boundary feedback law that stabilizes an unstable linear constant-coefficient reaction-diffusion equation on an n-ball (which in 2-D reduces to a disk and in 3-D reduces ...
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
Boundary Control of Coupled Reaction-Advection-Diffusion Systems with Spatially-Varying Coefficients
(Institute of Electrical and Electronics Engineers (IEEE), 2016)
Recently, the problem of boundary stabilization for unstable linear constant-coefficient coupled reaction-diffusion systems was solved by means of the backstepping method. The extension of this result to systems with ...
Artículo
Marcum Q-functions and explicit kernels for stabilization of 2×2 linear hyperbolic systems with constant coefficients
(Elsevier, 2014)
We find the exact analytical solution to a Goursat PDE system governing the kernels of a backstepping-based boundary control law that stabilizes a constant-coefficient 2×2 system of first-order hyperbolic linear PDEs. The ...
Artículo
Kernel well-posedness and computation by power series in backstepping output feedback for radially-dependent reaction–diffusion PDEs on multidimensional balls
(Elsevier, 2023)
Recently, the problem of boundary stabilization and estimation for unstable linear constant-coefficient reaction–diffusion equation on n-balls (in particular, disks and spheres) has been solved by means of the backstepping ...
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, ...