Global exact controllability of bilinear quantum systems on compact graphs and energetic controllability

Abstract : 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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Contributor : Alessandro Duca <>
Submitted on : Thursday, February 7, 2019 - 5:30:14 PM
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Alessandro Duca. Global exact controllability of bilinear quantum systems on compact graphs and energetic controllability. 2019. ⟨hal-01875685v2⟩

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