Symmetries in left-invariant optimal control problems

Symmetries in left-invariant optimal control problems

We consider left-invariant optimal control problems on connected Lie groups such that generic stabilizer of the coadjoint action is connected and has dimension not more than 1. We introduce a construction for symmetries of the exponential map. These symmetries play a key role in investigation of opt...

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Veröffentlicht in:arXiv.org 2020-05
1. Verfasser: Podobryaev, A V
Format: Artikel
Sprache:eng
Schlagworte:
Control theory
Invariants
Lie groups
Mathematics - Optimization and Control
Optimal control
Optimization
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Beschreibung
Zusammenfassung:We consider left-invariant optimal control problems on connected Lie groups such that generic stabilizer of the coadjoint action is connected and has dimension not more than 1. We introduce a construction for symmetries of the exponential map. These symmetries play a key role in investigation of optimality of extremal trajectories.
ISSN:2331-8422
DOI:10.48550/arxiv.1807.09145