Integrals of Motion for Discrete-Time Optimal Control Problems

作者: Delfim F.M. Torres

DOI: 10.1016/S1474-6670(17)35756-7

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摘要: Abstract We obtain a discrete time analog of E. Noether's theorem in Optimal Control, asserting that integrals motion associated to the Pontryagin Maximum Principle can be computed from quasi-invariance properties Lagrangian and control system. As corollaries, conservation laws for problems calculus variations are obtained.