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State-constrained nonlinear problems without any controllability assumption

ARGOMENTI: Seminari

SEMINARI DI EQUAZIONI DIFFERENZIALI E APPLICAZIONI
Martedi' 21 aprile alle ore 12 in Sala Riunioni VII piano Hasnaa Zidani (ENSTA Parigi) terra' un seminario dal titolo "State-constrained nonlinear problems without any controllability assumption".

-Abstract
The talk will review some known results on the Hamilton-Jacobi theory for state-constrained control problems. We will mainly focus on the characterization of the value function without any controllability assumption. In this case, it is known that the HJB equation associated to the control problem may have several solutions. Here, we will describe some new ideas allowing to overcome some of these difficulties and to built efficient numerical methods.

Rif. int. F. Ancona, M. Bardi, A. Cesaroni

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