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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.

49J10 Existence theories for free problems in two or more independent variables
93B05 Controllability
93B25 Algebraic methods
Full Text: DOI
[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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