On some systems controlled by the structure of their memory

Giuseppe Buttazzo (1) , Guillaume Carlier (2) , Rabah Tahraoui (2)

1 Dipartimento di Matematica [Pisa]
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

We consider an optimal control problem governed by an ODE with memory playing the role of a control. We show the existence of an op- timal solution and derive some necessary optimality conditions. Some examples are then discussed.

Domaines: Optimisation et contrôle [math.OC]

Giuseppe Buttazzo, Guillaume Carlier, Rabah Tahraoui. On some systems controlled by the structure of their memory. SIAM Journal on Control and Optimization, 2010, 48 (8), pp.5241-5253. ⟨10.1137/100781821⟩. ⟨hal-00637401⟩