Now showing items 1-2 of 2
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 ...
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 ...