Now showing items 1-3 of 3
Optimal location of controllers for the one-dimensional wave equation
(Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 2013-12-31)
In this paper, we consider the homogeneous one-dimensional wave equation defined on (0,π). For every subset ωâŠ[0,π] of positive measure, every T≥2π, and all initial data, there exists a unique control of minimal norm in ...
Exact Controllability of the Time Discrete Wave Equation: A Multiplier Approach
(Computational Methods in Applied Sciences, 2010-12-31)
In this paper we summarize our recent results on the exact boundary controllability of a trapezoidal time discrete wave equation in a bounded domain. It is shown that the projection of the solution in an appropriate space ...
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 ...