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Control systems on the orthogonal group \(SO(4)\). (English) Zbl 1287.93021
Summary: 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.

93B27 Geometric methods
22E60 Lie algebras of Lie groups
93B05 Controllability
93B52 Feedback control
93B17 Transformations
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