Asymptotics of accessibility sets along an abnormal trajectory

DOI10.1051/cocv:2001115zbMath0996.93009arXivmath/0607425OpenAlexW2032010481MaRDI QIDQ4331443

Emmanuel Trélat

Publication date: 16 May 2002

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607425

zbMATH Keywords

normal formsub-Riemannian geometrybounded controlend-point mappingabnormal trajectoryaccessibilty setsingle-input affine control systemspectral analytic tools

Mathematics Subject Classification ID

Canonical structure (93B10) Attainable sets, reachability (93B03) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (5)

On the role of abnormal minimizers in sub-Riemannian geometry ⋮ Optimal control and applications to aerospace: some results and challenges ⋮ Min-max and min-min Stackelberg strategies with closed-loop information structure ⋮ Second order optimality conditions in the smooth case and applications in optimal control ⋮ CONSTRAINT ALGORITHM FOR EXTREMALS IN OPTIMAL CONTROL PROBLEMS

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