Optimal control problems on the co-adjoint Lie groupoids

2024/11/25 by Ghorbanali Haghighatdoost, Haghighatdoost, Ghorbanali · 2 citations
Engineering · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Mathematics #FOS: Physical sciences #Geotechnical and Geomechanical Engineering #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2411.16640

openalex publication_date 2024/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we study the invariant optimal control problem on Lie groupoids. We show that any invariant optimal control problem on a Lie groupoid reduces to its co-adjoint Lie algebroid. In the final section of the paper, we present an illustrative example.

Cited by

• Geometric Dynamical Systems
• Euler Poincare Dynamics and Control on Lie Groupoids

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