Work

A new look at the controllability cost of linear evolution systems with a long gaze at localized data

Year: 2025

Type: article

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 for localized initial data and, in the dispersive case, for initial data which are semiclassically microlocalized.

Source: Comptes Rendus Mathématique

DOI: 10.5802/crmath.725

Authors: Roberta Bianchini, Vincent Laheurte, Frank Sueur

Institutions: Istituto per le Applicazioni del Calcolo Mauro Picone, National Research Council, Université de Bordeaux, University of Luxembourg, Institut de Mathématiques de Bordeaux

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: Agence Nationale de la Recherche, Institut Universitaire de France, Ministero dell'Università e della Ricerca