Optimal control problems on the co-adjoint Lie groupoids

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.

Keywords

• optimal control problem
• invariant control system
• hamiltonian system
• co-adjoint lie groupoid