R. Salmoni

activity

20062015

most citedDirac structures and reduction of optimal control problems with symmetries

5 citations · 7 across the 3 of their papers we have counts for

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3 papers · 1 filter

math.OC2015★ 2 cited

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

M. Delgado-Téllez, A. Ibort, T. Rodríguez de la Peña +1

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 equ…

math.OC2010★ 5 cited

Dirac structures and reduction of optimal control problems with symmetries

Alberto Ibort, Thalia Rodriguez De La Peña, Rebecca Salmoni

We discuss the use of Dirac structures to obtain a better understanding of the geometry of a class of optimal control problems and their reduction by symmetries. In particular we w…

math.OC2006

Limit Time Optimal Synthesis for a Control-Affine System on $S^{2}$

Paolo Mason, Rebecca Salmoni, Ugo Boscain +1

For $α \in (0, π /2)$ , let $(Σ)_{α}$ be the control system $x ˙ = (F + u G) x$ , where $x$ belongs to the two-dimensional unit sphere $S^{2}$ , $u \in [- 1, 1]$ and $F, G$ are $3 \times 3$ skew-symm…

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

Dirac structures and reduction of optimal control problems with symmetries

Limit Time Optimal Synthesis for a Control-Affine System on S2

Limit Time Optimal Synthesis for a Control-Affine System on $S^{2}$