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For α ∈]0, π/2[, let (Σ) α be the control system ˙ x = (F + uG)x, where x belongs to the two-dimensional unit sphere S 2 , u ∈ [−1, 1] and F, G are 3 × 3 skew-symmetric matrices generating rotations with perpendicular axes of respective length cos(α) and sin(α). In this paper, we study the time optimal synthesis (TOS) from the north pole (0, 0, 1) T… (More)

— For α ∈ (0, π/2), let (Σ)α be the control system ˙ x = (F + uG)x, where x belongs to the two-dimensional unit sphere S 2 , u ∈ [−1, 1] and F, G are 3 × 3 skew-symmetric matrices generating rotations with perpendicular axes and of respective norms cos(α) and sin(α). In this paper, we study the time optimal synthesis (TOS) from the north pole (0, 0, 1) T… (More)

- Paolo Mason, Rebecca Salmoni, Ugo V. Boscain, Yacine Chitour
- SIAM J. Control and Optimization
- 2008

For α ∈]0, π/2[, let (Σ) α be the control system ˙ x = (F + uG)x, where x belongs to the two-dimensional unit sphere S 2 , u ∈ [−1, 1] and F, G are 3 × 3 skew-symmetric matrices generating rotations with perpendicular axes of respective length cos(α) and sin(α). In this paper, we study the time optimal synthesis (TOS) from the north pole (0, 0, 1) T… (More)

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