Collision Avoidance of Multiagent Systems on Riemannian Manifolds

DOI10.1137/21M1411056zbMath1483.31031arXiv2104.04285OpenAlexW4213314924WikidataQ115246860 ScholiaQ115246860MaRDI QIDQ5024041

Leonardo Colombo, Jacob Goodman

Publication date: 28 January 2022

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.04285

zbMATH Keywords

energy functionalminimizersvariational problemRiemannian manifold

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (5)

Reduction in optimal control with broken symmetry for collision and obstacle avoidance of multi-agent system on Lie groups ⋮ Existence of global minimizer for elastic variational obstacle avoidance problems on Riemannian manifolds ⋮ Local minimizers for variational obstacle avoidance on Riemannian manifolds ⋮ Reduction by Symmetry in Obstacle Avoidance Problems on Riemannian Manifolds ⋮ Finding extremals of Lagrangian actions

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