Global Exact Controllability of Bilinear Quantum Systems on Compact Graphs and Energetic Controllability | Zendy

Alessandro Duca | Zendy

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Global Exact Controllability of Bilinear Quantum Systems on Compact Graphs and Energetic Controllability

Author(s) -

Alessandro Duca

Publication year - 2020

Publication title -

siam journal on control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.486

H-Index - 116

eISSN - 1095-7138

pISSN - 0363-0129

DOI - 10.1137/18m1212768

Subject(s) - controllability , mathematics , hilbert space , bounded function , laplace operator , boundary (topology) , quantum graph , graph , pure mathematics , observability , discrete mathematics , mathematical analysis

In this work, we consider the bilinear Schr\"odinger equation on compact 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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