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Controllability and simultaneous controllability of isospectral bilinear control systems on complex flag manifolds

TitleControllability and simultaneous controllability of isospectral bilinear control systems on complex flag manifolds
Publication TypeJournal Article
Year of Publication2009
AuthorsAltafini, C
JournalSystems Control Lett. 58 (2009) 213-216
Abstract

For isospectral bilinear control systems evolving on the so-called complex flag manifolds (i.e., on the orbits of the Hermitian matrices under unitary conjugation action) it is shown that controllability is almost always verified. Easy and generic sufficient conditions are provided. The result applies to the problem of density operator controllability of finite dimensional quantum mechanical systems. In addition, we show that systems having different drifts (corresponding for example to different Larmor frequencies) are simultaneously controllable by the same control field.

URLhttp://hdl.handle.net/1963/3523
DOI10.1016/j.sysconle.2008.10.008

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