The structure of reachable sets for affine control systems induced by generalized Martinet sub-Lorentzian metrics
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Publication:4911002
DOI10.1051/cocv/2011202zbMath1268.53040OpenAlexW2171586830WikidataQ125661041 ScholiaQ125661041MaRDI QIDQ4911002
Publication date: 13 March 2013
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/cocv/2011202
Control problems involving ordinary differential equations (34H05) Sub-Riemannian geometry (53C17) Optimality conditions (49K99)
Related Items (13)
Graph surfaces on five-dimensional sub-Lorentzian structures ⋮ Area formula for graph surfaces on five-dimensional sub-Lorentzian structures ⋮ The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure ⋮ Sub-Lorentzian coarea formula for mappings of Carnot groups ⋮ The area of graph surfaces on four-dimensional two-step sub-Lorentzian structures ⋮ Two-step sub-Lorentzian structures and graph surfaces ⋮ Classes of maximal surfaces on Carnot groups ⋮ The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure ⋮ Normal forms for sub-Lorentzian metrics supported on Engel type distributions ⋮ The structure of reachable sets and geometric optimality of singular trajectories for certain affine control systems in \(\mathbb R^{3}\). The sub-Lorentzian approach ⋮ Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures ⋮ The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures ⋮ Unnamed Item
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