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Browsing by Author "Krstic, Miroslav"
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Article
A closedform feedback controller for stabilization of magnetohydrodynamic channel flow
Vázquez Valenzuela, Rafael; Schuster, Stefan; Krstic, Miroslav (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 ...

Article
A ClosedForm Feedback Controller for Stabilization of the Linearized 2D NavierStokes Poisseuille System
Vázquez Valenzuela, Rafael; Krstic, Miroslav (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 ...

Presentation
Backstepping control of a hyperbolic PDE system with zero characteristic speed
Andrade, Gustavo A. de; Vázquez Valenzuela, Rafael; Karafyllis, Lasson; Krstic, Miroslav (Elsevier, 2022)In this paper, we study the singleinput boundary feedback stabilization of 3 × 3 linear hyperbolic partial differential ...

Presentation
Backstepping stabilization of an underactuated 3 X 3 linear hyperbolic system of fluid flow transport equations
Meglio, Florent Di; Vázquez Valenzuela, Rafael; Krstic, Miroslav; Petit, Nicolás (Institute of Electrical and Electronics Engineers (IEEE), 2012)We investigate the boundary stabilization of a particular subset of 3×3 linear hyperbolic systems with varying coefficients ...

Presentation
BacksteppingBased Exponential Stabilization of Timoshenko Beam with Prescribed Decay Rate
Chen, Guangwei; Vázquez Valenzuela, Rafael; Krstic, Miroslav (Elsevier, 2022)In this paper, we present a rapid boundary stabilization of a Timoshenko beam with antidamping and antistiffness at the ...

Presentation
Bilateral boundary control of onedimensional first and secondorder PDEs using infinitedimensional backstepping
Vázquez Valenzuela, Rafael; Krstic, Miroslav (Institute of Electrical and Electronics Engineers (IEEE), 2016)This paper develops an extension of infinitedimensional backstepping method for parabolic and hyperbolic systems in one ...

Presentation
Boundary control of a singular reactiondiffusion equation on a disk
Vázquez Valenzuela, Rafael; Krstic, Miroslav (Elsevier, 2016)Recently, the problem of boundary stabilization for unstable linear constantcoefficient reactiondiffusion equation on ...

Article
Boundary Control of Coupled ReactionAdvectionDiffusion Systems with SpatiallyVarying Coefficients
Vázquez Valenzuela, Rafael; Krstic, Miroslav (Institute of Electrical and Electronics Engineers (IEEE), 2016)Recently, the problem of boundary stabilization for unstable linear constantcoefficient coupled reactiondiffusion systems ...

Article
Control of 1D parabolic PDEs with Volterra nonlinearities, Part I: Design
Vázquez Valenzuela, Rafael; Krstic, Miroslav (Elsevier, 2008)Boundary control of nonlinear parabolic PDEs is an open problem with applications that include fluids, thermal, ...

Article
Control of Homodirectional and General Heterodirectional Linear Coupled Hyperbolic PDEs
Hu, Long; Meglio, Florent Di; Vázquez Valenzuela, Rafael; Krstic, Miroslav (Institute of Electrical and Electronics Engineers (IEEE), 2016)Research on stabilization of coupled hyperbolic PDEs has been dominated by the focus on pairs of counterconvecting ...

Presentation
Explicit boundary control of a reactiondiffusion equation on a disk
Vázquez Valenzuela, Rafael; Krstic, Miroslav (Elsevier, 2014)This paper introduces an explicit fullstate boundary feedback law that stabilizes an unstable linear constantcoefficient ...

Article
Explicit outputfeedback boundary control of reactiondiffusion PDEs on arbitrarydimensional balls
Vázquez Valenzuela, Rafael; Krstic, Miroslav (Société de Mathématiques Appliquées et Industrielles (SMAI), 2016)This paper introduces an explicit outputfeedback boundary feedback law that stabilizes an unstable linear constantcoefficient ...

Presentation
Folding Backstepping Approach to Parabolic PDE Bilateral Boundary Control
Chen, Stephen; Vázquez Valenzuela, Rafael; Krstic, Miroslav (Elsevier, 2019)We consider the stabilization problem for an unstable 1D diffusionreaction partial differential equation using a socalled ...

Article
Folding Bilateral Backstepping OutputFeedback Control Design for an Unstable Parabolic PDE
Chen, Stephen; Vázquez Valenzuela, Rafael; Krstic, Miroslav (Institute of Electrical and Electronics Engineers Inc., 2022)We present a novel methodology for designing outputfeedback backstepping bilateral boundary controllers for an unstable ...

Article
Kernel wellposedness and computation by power series in backstepping output feedback for radiallydependent reaction–diffusion PDEs on multidimensional balls
Vázquez Valenzuela, Rafael; Zhang, Jing; Qi, Jie; Krstic, Miroslav (Elsevier, 2023)Recently, the problem of boundary stabilization and estimation for unstable linear constantcoefficient reaction–diffusion ...

Article
Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping
Coron, Jean Michel; Vázquez Valenzuela, Rafael; Krstic, Miroslav; Bastin, Georges (Society for Industrial and Applied Mathematics, 2013)In this work, we consider the problem of boundary stabilization for a quasilinear 2 × 2 system of firstorder hyperbolic ...

Presentation
Local exponential H2 stabilization of a 2x2 quasilinear hyperbolic system using backstepping
Vázquez Valenzuela, Rafael; Coron, Jean Michel; Krstic, Miroslav; Bastin, Georges (Institute of Electrical and Electronics Engineers (IEEE), 2011)We consider the problem of boundary stabilization for a quasilinear 2×2 system of firstorder hyperbolic PDEs. We design ...

Article
Marcum Qfunctions and explicit kernels for stabilization of 2×2 linear hyperbolic systems with constant coefficients
Vázquez Valenzuela, Rafael; Krstic, Miroslav (Elsevier, 2014)We find the exact analytical solution to a Goursat PDE system governing the kernels of a backsteppingbased boundary control ...

Article
Multiagent deployment in 3D via reaction–diffusion system with radiallyvarying reaction
Zhang, Jing; Vázquez Valenzuela, Rafael; Qi, Jie; Krstic, Miroslav (Elsevier, 202401)This paper considers the problem of the deployment of a set of agents distributed on a diskshaped grid onto threedimensional ...

Presentation
Output feedback control of radiallydependent reactiondiffusion PDEs on balls of arbitrary dimensions
Vázquez Valenzuela, Rafael; Zhang, Jing; Krstic, Miroslav; Qi, Jie (Elsevier, 2020)Recently, the problem of boundary stabilization and estimation for unstable linear constantcoefficient reactiondiffusion ...