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arXiv · 1406.0705

Noether's Theorem for Control Problems on Time Scales

Agnieszka B. Malinowska·Moulay Rchid Sidi Ammi
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Abstract

We prove a generalization of Noether's theorem for optimal control problems defined on time scales. Particularly, our results can be used for discrete-time, quantum, and continuous-time optimal control problems. The generalization involves a one-parameter family of maps which depend also on the control and a Lagrangian which is invariant up to an addition of an exact delta differential. We apply our results to some concrete optimal control problems on an arbitrary time scale.

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Agnieszka B. Malinowska, Moulay Rchid Sidi Ammi. 2014-06-03. Noether's Theorem for Control Problems on Time Scales. https://arxiv.org/abs/1406.0705

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