249 citations · 915 across the 56 of their papers we have counts for
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math.OC2008★ 2 cited
Consensus optimization on manifolds
Alain Sarlette, Rodolphe Sepulchre
The present paper considers distributed consensus algorithms that involve N agents evolving on a connected compact homogeneous manifold. The agents track no external reference and…
math.OC2008
Coordinated motion design on Lie groups
Alain Sarlette, Silvère Bonnabel, Rodolphe Sepulchre
The present paper proposes a unified geometric framework for coordinated motion on Lie groups. It first gives a general problem formulation and analyzes ensuing conditions for coor…