Integrals of Motion for Discrete-Time Optimal Control Problems

Details Integrals of Motion for Discrete-Time Optimal Control Problems Integrals of Motion for Discrete-Time Optimal Control Problems

2003-01-24

arxiv.org/abs/math/0301276v1

Control Applications of Optimisation 2003, Editors: R. Bars, E. Gyurkovics, IFAC Workshop Series, 2003, pp. 33--38.

Mathematics

Optimization and Control

Accepted to be presented at the IFAC Workshop on Control Applications of Optimization - CAO'2003 - to be held in Visegrad, Hun

Scientific paper

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

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