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paperarXivTrust 82 · PrimaryPublished 1mo agoLive · 1mo ago

Learning Forced Multibody Dynamics on Lie Groups

We propose an architecture for learning the dynamics of mechanical systems based on discrete forced Euler-Lagrange equations on Lie groups using only position data. By formulating the dynamics directly on manifold-valued configuration spaces, the method naturally respects the geometric structure of the systems and preserves geometric invariants and conservation laws. The reliance on position measurements alone makes the framework applicable in settings where velocity data are unavailable or noisy. The approach extends naturally to multibody systems, accommodates external control inputs, and de

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  • LinkedLinked via arxiv author · 85%Martine Dyring Hansen

    Learning Forced Multibody Dynamics on Lie Groups

  • LinkedLinked via arxiv author · 85%Marta Ghirardelli

    Learning Forced Multibody Dynamics on Lie Groups

  • LinkedLinked via arxiv author · 85%Elena Celledoni

    Learning Forced Multibody Dynamics on Lie Groups

  • LinkedLinked via arxiv author · 85%David Martin de Diego

    Learning Forced Multibody Dynamics on Lie Groups

  • LinkedLinked via arxiv author · 85%Brynjulf Owren

    Learning Forced Multibody Dynamics on Lie Groups

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