On the conicity of eigenvalues intersections for parameter-dependent self-adjoint operators

Autor: Paolo Mason, Francesca Chittaro

Publikováno v: Journal of Mathematical Physics
Journal of Mathematical Physics, American Institute of Physics (AIP), 2020, 61 (5), ⟨10.1063/1.5115576⟩
Journal of Mathematical Physics, American Institute of Physics (AIP), In press, 61 (5)
Journal of Mathematical Physics, 2020, 61 (5), ⟨10.1063/1.5115576⟩

International audience; Motivated by recent controllability results for the bilinear Schrödinger equation based on the existence of conical intersections, in this paper we identify two physically interesting families of parameter-dependent Hamiltoni

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4e8105f415d2ae8a48d1f31ee212f02
https://hal.archives-ouvertes.fr/hal-02160192

Strong local optimality for generalized L1 optimal control problems

Autor: Francesca Chittaro, Laura Poggiolini

Publikováno v: Journal of Optimization Theory and Applications
Journal of Optimization Theory and Applications, 2019, 180 (1), pp.207-234
Journal of Optimization Theory and Applications, Springer Verlag, 2019, 180 (1), pp.207-234

In this paper, we analyse control affine optimal control problems with a cost functional involving the absolute value of the control. The Pontryagin extremals associated with such systems are given by (possible) concatenations of bang arcs with singu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66476f4e4a1fbba4cfa111c508166635
https://hal.science/hal-01585634

Asymptotic ensemble stabilizability of the Bloch equation

Autor: Francesca Chittaro, Jean-Paul Gauthier

Publikováno v: Systems and Control Letters
Systems and Control Letters, Elsevier, 2018, ⟨10.1016/j.sysconle.2018.01.008⟩
Systems and Control Letters, 2018, ⟨10.1016/j.sysconle.2018.01.008⟩

International audience; In this paper we are concerned with the stabilizability to an equilibrium point of an ensemble of non interacting half-spins. We assume that the spins are immersed in a static magnetic field, with dispersion in the Larmor freq

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ed1e4288dfa2d76c729fe1a7107fd2c

Towards generic adiabatic elimination for bipartite open quantum systems

Autor: Pierre Rouchon, Remi Azouit, Francesca Chittaro, Alain Sarlette

Publikováno v: Quantum Science and Technology
Quantum Science and Technology, 2017, 2 (4), pp.1-15. ⟨10.1088/2058-9565/aa7f3f⟩
Quantum Science and Technology, IOP Science, 2017, 2 (4), pp.1-15. ⟨10.1088/2058-9565/aa7f3f⟩

We consider a composite open quantum system consisting of a fast subsystem coupled to a slow one. Using the time-scale separation, we develop an adiabatic elimination technique to derive at any order the reduced model describing the slow subsystem. T

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::790cf3f6b8a6ab6c057b27e3204d8ac1
https://inria.hal.science/hal-01634588

Smooth optimal synthesis for infinite horizon variational problems

Autor: Francesca Chittaro, Andrei A. Agrachev

Publikováno v: ESAIM: Control, Optimisation and Calculus of Variations. 15:173-188

We study Hamiltonian systems which generate extremal flows of regular variational prob- lems on smooth manifolds and demonstrate that negativity of the generalized curvature of such a system implies the existence of a global smooth optimal synthesis

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b80f2659802fab725baaa65a2d866b77
https://doi.org/10.1051/cocv:2008029