Browsing by Author "Krstic, Miroslav"
Now showing items 1-20 of 21
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Article
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 ...
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Article
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 ...
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Presentation
Backstepping control of a hyperbolic PDE system with zero characteristic speed
(Elsevier, 2022)In this paper, we study the single-input boundary feedback stabilization of 3 × 3 linear hyperbolic partial differential ...
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Presentation
Backstepping stabilization of an underactuated 3 X 3 linear hyperbolic system of fluid flow transport equations
(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 ...
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Presentation
Backstepping-Based Exponential Stabilization of Timoshenko Beam with Prescribed Decay Rate
(Elsevier, 2022)In this paper, we present a rapid boundary stabilization of a Timoshenko beam with anti-damping and anti-stiffness at the ...
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Presentation
Bilateral boundary control of one-dimensional first- and second-order PDEs using infinite-dimensional backstepping
(Institute of Electrical and Electronics Engineers (IEEE), 2016)This paper develops an extension of infinite-dimensional backstepping method for parabolic and hyperbolic systems in one ...
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Presentation
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 ...
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Article
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 ...
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Article
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, ...
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Article
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 ...
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Presentation
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 ...
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Article
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 ...
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Presentation
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 ...
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Article
Folding Bilateral Backstepping Output-Feedback Control Design for an Unstable Parabolic PDE
(Institute of Electrical and Electronics Engineers Inc., 2022)We present a novel methodology for designing output-feedback backstepping bilateral boundary controllers for an unstable ...
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Article
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 ...
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Article
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 ...
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Presentation
Local exponential H2 stabilization of a 2x2 quasilinear hyperbolic system using backstepping
(Institute of Electrical and Electronics Engineers (IEEE), 2011)We consider the problem of boundary stabilization for a quasilinear 2×2 system of first-order hyperbolic PDEs. We design ...
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Article
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 ...
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Article
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 ...
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Presentation
Output feedback control of radially-dependent reaction-diffusion PDEs on balls of arbitrary dimensions
(Elsevier, 2020)Recently, the problem of boundary stabilization and estimation for unstable linear constant-coefficient reaction-diffusion ...