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Ponencia
Explicit boundary control of a reaction-diffusion equation on a disk
(Elsevier, 2014)
This paper introduces an explicit full-state boundary feedback law that stabilizes an unstable linear constant-coefficient reaction-diffusion equation on a disk. The backstepping method is used to design the control law. ...
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
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 ...
Ponencia
Boundary control of a singular reaction-diffusion equation on a disk
(Elsevier, 2016)
Recently, the problem of boundary stabilization for unstable linear constant-coefficient reaction-diffusion equation on n-balls (in particular, disks and spheres) has been solved by means of the backstepping method. However, ...
Ponencia
Folding Backstepping Approach to Parabolic PDE Bilateral Boundary Control
(Elsevier, 2019)
We consider the stabilization problem for an unstable 1-D diffusion-reaction partial differential equation using a so-called folding transformation. The diffusion-reaction equation is transformed into a 2 ×2 system of ...
Ponencia
Boundary Feedback Control of Unstable thermoacoustic Oscillations in the Rijke Tube
(Elsevier, 2016)
The problem of boundary stabilization of thermoacoustic oscillations is investigated. The Rijke tube is used as prototype system to study such phenomena. We consider that this system is modelled as a 2 x 2 linear first-order ...
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
Nonlinear bilateral output-feedback control for a class of viscous Hamilton¿Jacobi PDEs
(Elsevier, 2019)
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-D spatial domain. We first solve the ...
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 ...