Automatic computation of conservation laws in the calculus of variations and optimal control

摘要: We present analytic computational tools that permit us to identify, in an automatic way, conservation laws optimal control. The central result we use is the famous Noether’s theorem, a classical theory developed by Emmy Noether 1918, context of calculus variations and mathematical physics, which was extended recently more general show how Computer Algebra System can be very helpful finding symmetries corresponding control theory, thus making useful practice theoretical results obtained literature. A Maple implementation provided several illustrative examples given.