Geometry of optimal control for control-affine systems

DOI10.3842/SIGMA.2013.034zbMath1267.93036arXiv1206.1101WikidataQ63560977 ScholiaQ63560977MaRDI QIDQ352511

George R. Wilkens, Christopher G. Moseley, Jeanne Nielsen Clelland

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1101

zbMATH Keywords

Pontryagin's maximum principleoptimal control theoryaffine distributionsCartan's method of equivalencegeodesic trajectorieslocal isometric invariants

Mathematics Subject Classification ID

Geometric methods (93B27) Exterior differential systems (Cartan theory) (58A15) Optimality conditions for problems involving ordinary differential equations (49K15) Sub-Riemannian geometry (53C17) (G)-structures (53C10)

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