Control in the Spaces of Ensembles of Points
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Publication:3300781
DOI10.1137/19M1273049zbMath1447.93053arXiv1907.00905OpenAlexW3034525121MaRDI QIDQ3300781
Andrey V. Sarychev, Andrei A. Agrachev
Publication date: 30 July 2020
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.00905
Controllability (93B05) Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Algebraic methods (93B25)
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Feedback equivalence and uniform ensemble reachability ⋮ The stability of completely controllable systems ⋮ Control on the manifolds of mappings with a view to the deep learning ⋮ Impulsive input-to-state stabilization of an ensemble ⋮ Deep learning approximation of diffeomorphisms via linear-control systems ⋮ ``Good Lie brackets for control affine systems ⋮ Ensemble Control on Lie Groups ⋮ An operator theoretic approach to linear ensemble control ⋮ A measure theoretical approach to the mean-field maximum principle for training NeurODEs
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