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Optimal control of two coupled spinning particles in the Euler-Lagrange picture

Autor: Alberto Ibort, R. Salmoni, T. Rodríguez de la Peña, M. Delgado-Téllez

A family of optimal control problems for a single and two coupled spinning particles in the Euler–Lagrange formalism is discussed. A characteristic of such problems is that the equations controlling the system are implicit and a reduction procedure

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7a5c16e463fffcc7107a20a3a278dc9
http://arxiv.org/abs/1510.08133

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Limit time optimal synthesis for a two-level quantum system

Autor: Paolo Mason, Ugo Boscain, R. Salmoni, Yacine Chitour

Publikováno v: CDC
47th IEEE Conference on Decision and Control, CDC 2008
47th IEEE Conference on Decision and Control, CDC 2008, Dec 2008, Cancun, Mexico. pp.4546-4551, ⟨10.1109/CDC.2008.4738782⟩

International audience; For α ∈ (0, π/2), let (Σ)α be the control system ẋ = (F + uG)x, where × belongs to the two-dimensional unit sphere S2, u ∈[-1,1] and F,G are 3 × 3 skew-symmetric matrices generating rotations with perpendicular axe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c19e860beddb14a6da7581b930518f32
https://doi.org/10.1109/cdc.2008.4738782

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Limit time optimal synthesis for a control-affine system on S2

Autor: Paolo Mason, Yacine Chitour, Ugo Boscain, R. Salmoni

Publikováno v: SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2008, 47 (1), pp.111-143. ⟨10.1137/060675988⟩
SIAM Journal on Control and Optimization, 2008, 47 (1), pp.111-143. ⟨10.1137/060675988⟩

For $\alpha\in(0,\pi/2)$, let $(\Sigma)_\alpha$ be the control system $\dot{x}=(F+uG)x$, where $x$ belongs to the two-dimensional unit sphere $S^2$, $u\in [-1,1]$ and $F,G$ are $3\times3$ skew-symmetric matrices generating rotations with perpendicula

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8de9c84064d7a94a281e668e0462a6a
https://hal.archives-ouvertes.fr/hal-02320804

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