Generic properties of singular trajectories

DOI10.1016/S1631-073X(03)00252-8zbMath1038.58019MaRDI QIDQ5906999

Yacine Chitour, Emmanuel Trélat, Frédéric Jean

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

sub-Riemannian geometrygenericitycontrol-affine systemssingular trajectories

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Sub-Riemannian geometry (53C17) Applications of variational problems to control theory (58E25)

Related Items (6)

An algorithm for optimization of cereal output ⋮ Optimal control and applications to aerospace: some results and challenges ⋮ Fuller Singularities for Generic Control-Affine Systems with an Even Number of Controls ⋮ Global subanalytic solutions of Hamilton-Jacobi type equations ⋮ Min-max and min-min Stackelberg strategies with closed-loop information structure ⋮ Global subanalytic solutions of Hamilton--Jacobi type equations

Cites Work

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• Rigidity of integral curves of rank 2 distributions
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• Abnormal sub-Riemannian geodesics: Morse index and rigidity
• Shortest paths for sub-Riemannian metrics on rank-two distributions
• Generic properties of singular trajectories
• On the subanalyticity of Carnot-Carathéodory distances

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