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arXiv · 2401.07285

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

Roberta Bianchini·Vincent Laheurte·Franck Sueur
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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.

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Roberta Bianchini, Vincent Laheurte, Franck Sueur. 2024-01-14. A new look at the controllability cost of linear evolution systems with a long gaze at localized data. https://arxiv.org/abs/2401.07285

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