Optimal control problems on the co-adjoint Lie groupoids

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.

Bibliographic Details
Main Author: Ghorbanali Haghighatdoost
Format: Article
Language:English
Published: Polish Academy of Sciences 2024-12-01
Series:Archives of Control Sciences
Subjects:
Online Access:https://journals.pan.pl/Content/133804/art03.pdf