Dynamic Constrained Stabilization on the n-sphere (Extended version)

The paper proposes a control strategy using constraint proximity-based dynamic damping to achieve safe and almost global asymptotic stabilization of a target point on an n-sphere, even when star-shaped constraints are present. The method uses a control input designed to ensure the system's velocity aligns with the desired direction relative to the constraint boundaries, guaranteeing stability within the feasible region.

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