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On the exact controllability of hyperbolic magnetic Schrödinger equations 

Lu, X.; Tu, Z.; Lv, X. (2014-12-31)
In this paper, we address the exact controllability problem for the hyperbolic magnetic Schrödinger equation, which plays an important role in the research of electromagnetics. Typical techniques, such as Hamiltonian ...
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Optimal shape and location of sensors or actuators in PDE models 

Privat, Y.; Trélat, E.; Zuazua, E. (2014-12-31)
We investigate the problem of optimizing the shape and location of sensors and actuators for evolution systems driven by distributed parameter systems or partial differential equations (PDE). We consider wave, Schrödinger ...
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Long time versus steady state optimal control 

Porretta, A.; Zuazua, E. (2013-12-31)
This paper analyzes the convergence of optimal control problems for an evolution equation in a finite time-horizon [0, T] toward the limit steady state ones as T ?8. We focus on linear problems. We first consider linear ...
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Optimal Observation of the One-dimensional Wave Equation 

Privat, Y.; Trélat, E.; Zuazua, E. (2013-12-31)
In this paper, we consider the homogeneous one-dimensional wave equation on [0,π] with Dirichlet boundary conditions, and observe its solutions on a subset ω of [0,π]. Let L∈(0,1). We investigate the problem of maximizing ...
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Observability of heat processes by transmutation without geometric restrictions 

Ervedoza, S.; Zuazua, E. (2011-12-31)
The goal of this note is to explain how transmutation techniques (originally introduced in [14] in the context of the control of the heat equation, inspired on the classical Kannai transform, and recently revisited in [4] ...
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A systematic method for building smooth controls for smooth data 

Ervedoza, S.; Zuazua, E. (2010-12-31)
We prove a regularity result for an abstract control problem z' = Az + Bv with initial datum z(0) = z0 in which the goal is to determine a control v such that z(T) = 0. Under standard admissibility and observability ...
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Time discrete wave equations: Boundary observability and control 

Zhang, X.; Zheng, C.; Zuazua, E. (2009-12-31)
In this paper we study the exact boundary controllability of a trapezoidal time discrete wave equation in a bounded domain. We prove that the projection of the solution in an appropriate filtered space is exactly controllable ...
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Hardy inequalities, observability, and control for the wave and schrödinger equations with singular potentials 

Vancostenoble, J.; Zuazua, E. (2009-12-31)
We address the question of exact controllability of the wave and Schrodinger equa\-tions perturbed by a singular inverse-square potential. Exact boundary controllability is proved in the range of subcritical coefficients ...

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AuthorZuazua, E. (7)Ervedoza, S. (2)Privat, Y. (2)Trélat, E. (2)Lu, X. (1)Lv, X. (1)Porretta, A. (1)Tu, Z. (1)Vancostenoble, J. (1)Zhang, X. (1)... másSubject
Observability (8)
Controllability (2)Linear systems (2)Wave equation (2)Actuators (1)Compactness-uniqueness argument (1)Control (1)Distributed parameter systems (1)Energy conservation law (1)Evolution systems (1)... másFecha2014 (2)2013 (2)2011 (1)2010 (1)2009 (2)

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