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- Ugo V. Boscain, Marco Caponigro, Thomas Chambrion, Mario Sigalotti
- ArXiv
- 2011

In this paper we prove an approximate controllability result for the bilinear Schrödinger equation. This result requires less restrictive non-resonance hypotheses on the spectrum of the uncontrolled… (More)

- Ugo V. Boscain, Jean Duplaix, Jean-Paul Gauthier, Francesco Rossi
- SIAM J. Control and Optimization
- 2012

In this paper we study a model of geometry of vision due to Petitot, Citti and Sarti. One of the main features of this model is that the primary visual cortex V1 lifts an image from R2 to the bundle… (More)

- Ugo V. Boscain, Francesco Rossi
- SIAM J. Control and Optimization
- 2008

In this paper we study the invariant Carnot-Caratheodory metrics on SU(2) ≃ S, SO(3) and SL(2) induced by their Cartan decomposition. Beside computing explicitly geodesics and conjugate loci, we… (More)

- Remco Duits, Ugo V. Boscain, Francesco Rossi, Yuri Sachkov
- Journal of Mathematical Imaging and Vision
- 2013

To model association fields that underly perceptional organization (gestalt) in psychophysics we consider the problem P curve of minimizing $\int _{0}^{\ell} \sqrt{\xi^{2} +\kappa^{2}(s)} {\rm d}s $… (More)

- Moussa Balde, Ugo V. Boscain, Paolo Mason
- Int. J. Control
- 2009

This paper is concerned with the stability problem for the planar linear switched system ẋ(t) = u(t)A1x(t)+(1−u(t))A2x(t), where the real matrices A1, A2 ∈ R 2×2 are Hurwitz and u(·) : [0,∞[→ {0, 1}… (More)

- Ugo V. Boscain, Roman A. Chertovskih, Jean-Paul Gauthier, Alexey Remizov
- SIAM J. Imaging Sciences
- 2014

This paper presents a semi-discrete alternative to the theory of neurogeometry of vision, due to Citti, Petitot and Sarti. We propose a new ingredient, namely working on the group of translations and… (More)

- Paolo Mason, Ugo V. Boscain, Yacine Chitour
- SIAM J. Control and Optimization
- 2006

In this paper, we consider linear switched systems ẋ(t) = Au(t)x(t), x ∈ R, u ∈ U , and the problem of asymptotic stability for arbitrary switching functions, uniform with respect to switching (UAS… (More)

- Ugo V. Boscain, Yacine Chitour
- SIAM J. Control and Optimization
- 2005

Consider the control system (Σ) given by ẋ = x(f + ug), where x ∈ SO(3), |u| ≤ 1 and f, g ∈ so(3) define two perpendicular left-invariant vector fields normalized so that ‖f‖ = cos(α) and ‖g‖ =… (More)

- Ugo V. Boscain, Francesca C. Chittaro, Paolo Mason, Mario Sigalotti
- IEEE Transactions on Automatic Control
- 2012

In this paper, we present a constructive method to control the bilinear Schrödinger equation via two controls. The method is based on adiabatic techniques and works if the spectrum of the… (More)

- Ugo V. Boscain, Remco Duits, Francesco Rossi, Yuri Sachkov
- IEEE 51st IEEE Conference on Decision and Control…
- 2012

We consider the problem of minimizing ∫<sub>0</sub><sup>ℓ</sup> √(ξ<sup>2</sup>+K<sup>2</sup>(s)ds) for a planar curve having fixed initial and final positions and directions. The total length ℓ is… (More)