[CvGmt News] Seminari Calcolo delle Variazioni
depascal at dm.unipi.it
depascal at dm.unipi.it
Thu Jan 7 13:46:56 CET 2010
At 17 (5 pm) as usual. (Sorry!)
---------------------------------------------
The first CVGMT seminar of the 2010 will be : Wednesday Jan. 13
At 17 Aula Seminari, Dipartimento di matematica.
Ariela Briani (Univ. di Pisa
ENSTA )
Title: A class of control problems with measures data.
Abstract: Motivated by models of heavy space launcher we consider in
[1] a final state constrained optimal control problem with measure
data. More precisely, we model the problem of steering a heavy space
launcher to the GTO orbit with minimal propellant consumption and with
a fixed final mass. I will first show that it is related to a standard
front propagation problem via the reachability function and therefore I
will study the related Hamilton-Jacobi-Bellmann (HJB) equation. In [2]
, to characterize the value function we first useÂ the graph completion
technique to reparametrize our problem and to give a "viscosity sense"
to the HJB equation. Secondly, to deal simultaneously with a lower semi
continuous final condition and t-measurable Hamiltonian we give a new
definition of L^1-bilateral viscosity solution. For the latest we prove
consistency, stability, and that the value function is indeed the
unique L^1-bilateral viscosity solution of the HJB equation.
[1] O. Bokanowski, A. Briani and H. Zidani, Minimum time control
problems for non autonomous differential equations, Systems
Control Letters, vol. 58, pp. 742-746, 2009. [2] A. Briani, H. Zidani,
Characterization of the value function of final state constrained
conrtrol problems with BV trajectories, preprint.
You find this news in the cvgmt preprint server: http://cvgmt.sns.it/news/20100113/
More information about the News
mailing list