عنوان Lie Algebroid in Classical Mechanical and Optimal Control نوع پژوهش مقاله ارائه شده کلیدواژهها Lie algebroid, lagrangian mechanics, variational calculuse,reduction of dynamical systems, optimal control system چکیده In this paper, we consider the symplectic and variational formalism and we study reduction, we also consider optimal control system on lie algebroid and show how to reduce Pontryagin maximum principale پژوهشگران قربانعلی حقیقت دوست بناب (نفر اول)، مهناز عابدینی (نفر دوم)