Reachable space of the Hermite heat equation with boundary control
Langue
en
Article de revue
Ce document a été publié dans
SIAM Journal on Control and Optimization. 2022, vol. 60, n° 6
Society for Industrial and Applied Mathematics
Résumé en anglais
We discuss reachable states for the Hermite heat equation on a segment with boundary $L^2$-controls. The Hermite heat equation corresponds to the heat equation to which a quadratic potential is added. We will discuss two ...Lire la suite >
We discuss reachable states for the Hermite heat equation on a segment with boundary $L^2$-controls. The Hermite heat equation corresponds to the heat equation to which a quadratic potential is added. We will discuss two situations: when one endpoint of the segment is the origin and when the segment is symmetric with respect to the origin. One of the main results is that reachable states extend to functions in a Bergman space on a square one diagonal of which is the segment under consideration, and that functions holomorphic in a neighborhood of this square are reachable.< Réduire
Mots clés en anglais
Boundary control
reachable space
Hermite-Heat equation
Mehler kernel
method of images
holomorphic functions
Bergman space
Origine
Importé de halUnités de recherche