## Search

Now showing items 1-8 of 8

#### Optimal shape and location of sensors or actuators in PDE models

(Proceedings of the American Control Conference, 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, Schr√∂dinger ...

#### On the exact controllability of hyperbolic magnetic Schrödinger equations

(Nonlinear Analysis, Theory, Methods and Applications, 2014-12-31)

In this paper, we address the exact controllability problem for the hyperbolic magnetic Schr√∂dinger equation, which plays an important role in the research of electromagnetics. Typical techniques, such as Hamiltonian ...

#### Optimal Observation of the One-dimensional Wave Equation

(Journal of Fourier Analysis and Applications, 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 ...

#### Long time versus steady state optimal control

(SIAM Journal on Control and Optimization, 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 ...

#### Observability of heat processes by transmutation without geometric restrictions

(Mathematical Control and Related Fields, 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] ...

#### A systematic method for building smooth controls for smooth data

(Discrete and Continuous Dynamical Systems - Series B, 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 ...

#### Time discrete wave equations: Boundary observability and control

(Discrete and Continuous Dynamical Systems, 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 ...

#### Hardy inequalities, observability, and control for the wave and schrödinger equations with singular potentials

(SIAM Journal on Mathematical Analysis, 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 ...