On symmetries in time optimal control, sub-Riemannian geometries, and the \(K-P\) problem

DOI10.1007/s10883-016-9351-6zbMath1387.93059arXiv1606.09280OpenAlexW2963565741WikidataQ115383659 ScholiaQ115383659MaRDI QIDQ1702960

Francesca Albertini, Domenico D'Alessandro

Publication date: 1 March 2018

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.09280

zbMATH Keywords

symmetry reductiongeometric optimal control theoryLie transformation groups

Mathematics Subject Classification ID

Geometric methods (93B27) Group actions and symmetry properties (58D19) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (4)

Sub-Riemannian geodesics on SL(2,ℝ) ⋮ A different look at the optimal control of the Brockett integrator ⋮ Time-optimal control of quantum lambda systems in the KP configuration ⋮ Algorithms for quantum control without discontinuities: Application to the simultaneous control of two qubits

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