عنوان C o n t ro l S y s t e m s o n t h e S o m e L i e G ro u p o i d s نوع پژوهش مقاله ارائه شده کلیدواژهها Optimal control problem, Invariant control system, Hamiltonian system, Co-adjoint Lie groupoid. چکیده In this work at first we study a right-invariant control system as well a right- invariant optimal control problem on an arbitrary Lie groupoid and show that extermal curves of any optimaol control problem on trivial Lie groupoid as well some others for example action groupoid evolve on the co-adjoint Lie groupoud. Our hypothesis is open for arbitrary Lie groupoid پژوهشگران قربانعلی حقیقت دوست بناب (نفر اول)