Reachable space of the Hermite heat equation with boundary control
Language
en
Article de revue
This item was published in
SIAM Journal on Control and Optimization. 2022, vol. 60, n° 6
Society for Industrial and Applied Mathematics
English Abstract
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 ...Read more >
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.Read less <
English Keywords
Boundary control
reachable space
Hermite-Heat equation
Mehler kernel
method of images
holomorphic functions
Bergman space
Origin
Hal imported