Now showing items 1-8 of 8

    • A systematic method for building smooth controls for smooth data 

      Ervedoza S.; Zuazua E. (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 ...
    • Hardy inequalities, observability, and control for the wave and schrödinger equations with singular potentials 

      Vancostenoble J.; Zuazua E. (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 ...
    • Long time versus steady state optimal control 

      Porretta A.; Zuazua E. (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 

      Ervedoza S.; Zuazua E. (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] ...
    • On the exact controllability of hyperbolic magnetic Schrödinger equations 

      Lu X.; Tu Z.; Lv X. (Nonlinear Analysis, Theory, Methods and Applications, 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 ...
    • Optimal Observation of the One-dimensional Wave Equation 

      Privat Y.; Trélat E.; Zuazua E. (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 ...
    • Optimal shape and location of sensors or actuators in PDE models 

      Privat Y.; Trélat E.; Zuazua E. (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, Schrödinger ...
    • Time discrete wave equations: Boundary observability and control 

      Zhang X.; Zheng C.; Zuazua E. (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 ...