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An optimal control problem on the Lie group $$SO(4)$$. (English) Zbl 1159.49002
An optimal control problem for a drift-free controllable system on the Lie group $$SO(4)$$ is discussed and some of its dynamical and geometrical properties are pointed out.

##### MSC:
 49J10 Existence theories for free problems in two or more independent variables 93B05 Controllability 93B25 Algebraic methods
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##### References:
 [1] Arnold V., Doklady, Tome 162 pp 773– [2] Birtea P., J. Math. Physics 48 pp 81– [3] Chow W. L., Math. Annalen 117 pp 998– [4] DOI: 10.1109/5.476021 · doi:10.1109/5.476021 [5] DOI: 10.1109/9.277235 · Zbl 0800.93840 · doi:10.1109/9.277235 [6] Puta M., J. Lie Theory 7 pp 269–
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