Conservation Laws in Optimal Control⋆
نویسندگان
چکیده
Conservation laws, i.e. conserved quantities along Euler–Lagrange extremals, which are obtained on the basis of Noether’s theorem, play an prominent role in mathematical analysis and physical applications. In this paper we present a general and constructive method to obtain conserved quantities along the Pontryagin extremals of optimal control problems, which are invariant under a family of transformations that explicitly change all (time, state, control) variables.
منابع مشابه
S ep 2 00 5 Automatic Computation of Conservation Laws in the Calculus of Variations and Optimal Control ∗ Paulo
We present analytic computational tools that permit us to identify, in an automatic way, conservation laws in optimal control. The central result we use is the famous Noether’s theorem, a classical theory developed by Emmy Noether in 1918, in the context of the calculus of variations and mathematical physics, and which was extended recently to the more general context of optimal control. We sho...
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