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Pré-Publication, Document De Travail Année : 2018

Advances on the controllability of bilinear quantum systems on compact graphs

Alessandro Duca

Résumé

We consider the bilinear Schr\"odinger equations on compact quantum graphs. We study new hypotheses leading to the global exact controllability of the equation in suitable Sobolev's spaces. Afterwards, we introduce the "energetic controllability", a weaker notion of controllability useful when the global exact controllability fails. We provide examples of the main results involving for instance star graphs.
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Dates et versions

hal-01875685 , version 1 (17-09-2018)
hal-01875685 , version 2 (07-02-2019)
hal-01875685 , version 3 (09-03-2020)
hal-01875685 , version 4 (16-07-2020)

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  • HAL Id : hal-01875685 , version 1

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Alessandro Duca. Advances on the controllability of bilinear quantum systems on compact graphs. 2018. ⟨hal-01875685v1⟩
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