Riemannian Density-Driven Optimal Control: Tangent-Space LQR for Second-Order Multi-Agent Systems on Curved Manifolds

arXiv:2609.22678 · math.OC, cs.MA, cs.RO, cs.SY, eess.SY · Submitted 2026-09-19 · Read on arXiv

math.OC, cs.MA, cs.RO, cs.SY, eess.SY

Submitted: 2026-09-19

Updated: 2026-09-19

Terminology

• Alignment — 8× in this paper · explained in 1 episode
• Multi-Agent System — 8× in this paper · explained in 5 episodes
• Optimal Transport — 3× in this paper · explained in 5 episodes
• Aggregation — 2× in this paper · explained in 1 episode
• Steering — 2× in this paper · explained in 2 episodes
• Theoretical Guarantees — 2× in this paper · explained in 2 episodes
• Wasserstein Distance — 2× in this paper · explained in 4 episodes
• Convergence Guarantees — 1× in this paper · explained in 3 episodes
• Distribution Matching — 1× in this paper · explained in 2 episodes
• Riemannian optimization — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

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