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Displaying 581 –
600 of
876
We study an initial boundary-value problem for a wave
equation with time-dependent sound speed. In the control problem,
we wish to determine a sound-speed function which damps the
vibration of the system. We consider the case where the sound speed can
take on only two values, and propose a simple control law. We show
that if the number of modes in the vibration is finite, and none of
the eigenfrequencies are repeated, the proposed
control law does lead to energy decay. We illustrate the rich behavior
of...
We wish to show how the shock position in a nozzle could be controlled. Optimal control theory and algorithm is applied to the transonic equation. The difficulty is that the derivative with respect to the shock position involves a Dirac mass. The one dimensional case is solved, the two dimensional one is analyzed .
We wish to show how the shock position in a nozzle could be
controlled. Optimal control theory and algorithm is applied to the
transonic equation. The difficulty is that the derivative with
respect to the shock position involves a Dirac mass. The one
dimensional case is solved, the two dimensional one is analyzed .
We consider the stabilization of a rotating temperature pulse traveling in a continuous
asymptotic model of many connected chemical reactors organized in a loop with continuously
switching the feed point synchronously with the motion of the pulse solution. We use the
switch velocity as control parameter and design it to follow the pulse: the switch
velocity is updated at every step on-line using the discrepancy between the temperature at
the front...
In this paper, we investigate the controllability of an underwater vehicle immersed in an infinite volume of an inviscid fluid whose flow is assumed to be irrotational. Taking as control input the flow of the fluid through a part of the boundary of the rigid body, we obtain a finite-dimensional system similar to Kirchhoff laws in which the control input appears through both linear terms (with time derivative) and bilinear terms. Applying Coron’s return method, we establish some local controllability...
We consider optimal control problems for convection-diffusion equations with a pointwise control or a control localized on a smooth manifold. We prove optimality conditions for the control variable and for the position of the control. We do not suppose that the coefficient of the convection term is regular or bounded, we only suppose that it has the regularity of strong solutions of the Navier–Stokes equations. We consider functionals with an observation on the gradient of the state. To obtain optimality...
We consider optimal control problems for convection-diffusion equations with a pointwise control
or a control localized on a smooth manifold. We prove optimality conditions for the control variable
and for the position of the control. We do not suppose that the coefficient of the convection term
is regular or bounded, we only suppose that it has the regularity of strong solutions of the
Navier–Stokes equations.
We consider functionals with an observation on the gradient of the state.
To obtain...
Combining HUM and compactness arguments the exact controllability is prove for time dependent smooth kernels.
We consider the exact controllability and stabilization of Maxwell
equation by using results on the propagation of singularities of the
electromagnetic field. We will assume geometrical control condition and use
techniques of the work of Bardos et al. on the wave
equation. The problem of internal stabilization will be treated with more
attention because the condition divE=0 is not preserved by the system of
Maxwell with Ohm's law.
Dans ce papier, nous étudions un problème de contrôle par les coefficients issu de la lubrification élastohydrodynamique. La variable de contrôle est l’épaisseur du fluide. Le phénomène de cavitation est pris en compte par le modèle Elrod-Adams, connu pour ses performances dans la conservation des débits d’entrée et de sortie. L’idée est de régulariser dans l’équation d’état le graphe d’Heaviside, en l’approchant par une suite de fonctions monotones et régulières. Nous dérivons les conditions d’optimalité...
Currently displaying 581 –
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876