A new look at the controllability cost of linear evolution systems with a long gaze at localized data
Analysis of PDEs
2024-01-17 v1
Abstract
We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evolution PDEs in several space dimensions, including hyperbolic systems and pseudo-differential systems obtained by linearization in fluid mechanics. In particular we investigate the cost of localized initial data, and in the dispersive case, of initial data which are semi-classically microlocalized.
Keywords
Cite
@article{arxiv.2401.07285,
title = {A new look at the controllability cost of linear evolution systems with a long gaze at localized data},
author = {Roberta Bianchini and Vincent Laheurte and Franck Sueur},
journal= {arXiv preprint arXiv:2401.07285},
year = {2024}
}