Control Systems on the Orthogonal Group SO(4)

Adams, Ross M. ; Biggs, Rory ; Remsing, Claudiu C.

Communications in Mathematics, Tome 21 (2013) no. 2, pp. 107-128

Abstract (VO)

We classify the left-invariant control affine systems evolving on the orthogonal group $SO(4)$. The equivalence relation under consideration is detached feedback equivalence. Each possible number of inputs is considered; both the homogeneous and inhomogeneous systems are covered. A complete list of class representatives is identified and controllability of each representative system is determined.

Détail

Classification : 22E60, 93B05, 93B17, 93B27
Keywords: left-invariant control system; detached feedback equivalence; orthogonal group

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