Optimal control on the Heisenberg group
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Publication:1972805
DOI10.1023/A:1021787121457zbMath0956.49013OpenAlexW194976377MaRDI QIDQ1972805
A. Anzaldo-Meneses, Felipe Monroy-Pérez
Publication date: 13 April 2000
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1021787121457
Homogeneous spaces (22F30) Analysis on other specific Lie groups (43A80) Optimality conditions for problems involving ordinary differential equations (49K15) Controllability, observability, and system structure (93B99) Manifolds and measure-geometric topics (49Q99)
Related Items (15)
On sub-Riemannian and Riemannian structures on the Heisenberg groups ⋮ Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions ⋮ The step-2 nilpotent \((n,n(n+1)/2)\) sub-Riemannian geometry ⋮ Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group ⋮ Symmetries in geometric control theory using Maple ⋮ Geodesics in the Heisenberg group \(H ^{n }\) with a Lorentzian metric ⋮ On symmetries of a sub-Riemannian structure with growth vector \((4, 7)\) ⋮ Invariant Control Systems on Lie Groups ⋮ Extremal trajectories and Maxwell strata in sub-Riemannian problem on group of motions of pseudo-Euclidean plane ⋮ Sufficient conditions for dispersiveness of invariant control affine systems on the Heisenberg group ⋮ Some properties of abnormal extremals on Lie groups ⋮ Quadratic Hamilton-Poisson systems in three dimensions: equivalence, stability, and integration ⋮ Cost-extended control systems on Lie groups ⋮ Sufficient Conditions for a Path-Connected Set of Local Solutions to an Optimal Control Problem ⋮ Control theory on Lie groups
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