期刊
SYSTEMS & CONTROL LETTERS
卷 58, 期 3, 页码 213-216出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sysconle.2008.10.008
关键词
Controllability; Simultaneous controllability; Bilinear control systems; Isospectral evolution; Quantum control
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. (c) 2008 Elsevier B.V. All rights reserved.
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