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[PDF] Top 20 Control and stabilization for the wave equation in an expanding domain

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Control and stabilization for the wave equation in an expanding domain

Control and stabilization for the wave equation in an expanding domain

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ... Voir le document complet

27

Time-Domain BEM for the Wave Equation on Distributed-Heterogenous Architectures : a Blocking Approach

Time-Domain BEM for the Wave Equation on Distributed-Heterogenous Architectures : a Blocking Approach

... GPU for the same block size, that is why in the rest of the paper we do not use the Full-Blocking method to run the ...study the parallel behavior of the ... Voir le document complet

26

Control of a Wave Equation with a Dynamic Boundary Condition

Control of a Wave Equation with a Dynamic Boundary Condition

... function. The output considered here is the velocity at the boundary where the actuator lies, meaning that an observer is not required to implement the ...interest in ... Voir le document complet

7

Stability and Convergence Analysis of Time-domain Perfectly Matched Layers for The Wave Equation in Waveguides

Stability and Convergence Analysis of Time-domain Perfectly Matched Layers for The Wave Equation in Waveguides

... for many problems, the stability for non-constant absorption parameters and the convergence analysis of the time-domain PMLs remains an open ...] the ... Voir le document complet

36

CONCENTRATION OF LAPLACE EIGENFUNCTIONS AND STABILIZATION OF WEAKLY DAMPED WAVE EQUATION

CONCENTRATION OF LAPLACE EIGENFUNCTIONS AND STABILIZATION OF WEAKLY DAMPED WAVE EQUATION

... harmonics. For general manifolds, following the analysis in [ 10 , Section 5]) should give the optimality of our results for quasi-modes on any ...manifold. The paper is ... Voir le document complet

25

Singular asymptotic expansion of the exact control for the perturbed wave equation

Singular asymptotic expansion of the exact control for the perturbed wave equation

... , the asymptotic analysis of solutions of singular systems like (1) can be performed using the matched asymptotic method [13, ...regularity and compatibility assumptions on the data (y0, y1) ... Voir le document complet

29

PI regulation control of a 1-D semilinear wave equation

PI regulation control of a 1-D semilinear wave equation

... ], the stabilization and regulation control of finite-dimensional systems by means of Proportional-Integral (PI) controllers has been intensively ...studied. For this reason, the ... Voir le document complet

31

Geometric control condition for the wave equation with a time-dependent observation domain

Geometric control condition for the wave equation with a time-dependent observation domain

... is in fact to be understood as occuring in a space-time domain, here (0, T ) × ...is the subject of the present article. The motivation for such a study can be seen as ... Voir le document complet

34

Contribution to the study of the Schrödinger equation : inverse problem in a bounded domain and bilinear optimal control of an Hartree-Fock equation.

Contribution to the study of the Schrödinger equation : inverse problem in a bounded domain and bilinear optimal control of an Hartree-Fock equation.

... obtained in the particular case when the atom is subjected to an external uniform time-dependent electric field I(t) such that in equation ...as in reference [10] ... Voir le document complet

169

Backstepping Observer Based-Control for an Anti-Damped Boundary Wave PDE in Presence of In-Domain Viscous Damping

Backstepping Observer Based-Control for an Anti-Damped Boundary Wave PDE in Presence of In-Domain Viscous Damping

... CONCLUSION An observer based-control law has been designed taking into account in-domain damping for a wave ...However, the target system and observer have a fixed ... Voir le document complet

9

In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness

In-Domain Control of a Heat Equation: An Approach Combining Zero-Dynamics Inverse and Differential Flatness

... which, in turn, provides a simple systematic methodology for solving certain problems of output ...Indeed, the construction of zero-dynamics for output regulation of certain interiorly ... Voir le document complet

12

AN ANALYSIS OF HIGHER ORDER BOUNDARY CONDITIONS FOR THE WAVE EQUATION

AN ANALYSIS OF HIGHER ORDER BOUNDARY CONDITIONS FOR THE WAVE EQUATION

... of the present work is the following. The Cagniard–De Hoop method is particularly well known in the physics and engineering communities for calculating analytical ... Voir le document complet

30

Exponential decay for the damped wave equation in unbounded domains

Exponential decay for the damped wave equation in unbounded domains

... manifold, the uniform positivity of hγi T (x, ξ) in Σ for some T > 0 implies that the exponential decay ...shown in the celebrated articles [30], [3] and [4] of Bardos, ... Voir le document complet

26

Stabilization of an unstable wave equation using an infinite dimensional dynamic controller

Stabilization of an unstable wave equation using an infinite dimensional dynamic controller

... Concerning the case of hyperbolic PDE and especially the string equation in a finite domain, even if the model is quite simple, there exist various control laws ... Voir le document complet

8

Control and Stabilization of the Benjamin-Ono Equation in ${L^2({\mathbb{T})}}$

Control and Stabilization of the Benjamin-Ono Equation in ${L^2({\mathbb{T})}}$

... give the proof of the theorem assuming that µ = [u 0 ] = 0 and detail in some remarks the necessary modifications when G is replaced by G µ .... The proof of the ... Voir le document complet

41

Initial boundary value problem and asymptotic stabilization of the Camassa-Holm equation on an interval

Initial boundary value problem and asymptotic stabilization of the Camassa-Holm equation on an interval

... investigate the asymptotic stabilization by a stationary feedback law acting on the boundary of ...consider the analogy with the asymptotic stabilization of the two ... Voir le document complet

25

Control and Stabilization of the Nonlinear Schroedinger Equation on Rectangles

Control and Stabilization of the Nonlinear Schroedinger Equation on Rectangles

... [48], the method of proof combined the momentum approach and Bourgain ...analysis. In the same paper, the local stabilization by the feedback law h = a(x)u(x, t) ... Voir le document complet

42

On stabilization and control for the critical Klein–Gordon equation on a 3-D compact manifold

On stabilization and control for the critical Klein–Gordon equation on a 3-D compact manifold

... discuss the assumptions on the size. In some sense, our theorem is a high frequency controllability result and expresses in a rough physical way that we can control some ... Voir le document complet

57

Dispersive and Strichartz estimates for the wave equation inside cylindrical convex domains

Dispersive and Strichartz estimates for the wave equation inside cylindrical convex domains

... local in time dispersive estimates and its application to Strichartz estimates for solutions of the model case Dirichlet wave equation inside cylin- drical convex domains Ω ⊂ R 3 ... Voir le document complet

100

On the convergence of the fictitious domain method for wave equation problems

On the convergence of the fictitious domain method for wave equation problems

... within the more general framework of developing efficient numerical methods for approximat- ing wave propagation in complex media such as anisotropic, heterogeneous media with cracks or ... Voir le document complet

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