In this paper we develop necessary conditions for optimality, in the form of the Pontryagin maximum principle, for the optimal control problem of a class of infinite dimensional evolution equations with delay in the state. In the cost functional we allow the final cost to depend on the history of the state. To treat such kind of cost functionals we introduce a new form of anticipated backward stochastic differential equations which plays the role of dual equation associated to the control problem.
Guatteri, G., Masiero, F., & Orrieri, C. (2017). Stochastic Maximun Principle for SPDES with Delay. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 127(7), 2396-2427.
Citazione: | Guatteri, G., Masiero, F., & Orrieri, C. (2017). Stochastic Maximun Principle for SPDES with Delay. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 127(7), 2396-2427. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | Stochastic Maximun Principle for SPDES with Delay |
Autori: | Guatteri, G; Masiero, F; Orrieri, C |
Autori: | MASIERO, FEDERICA (Secondo) |
Data di pubblicazione: | 2017 |
Lingua: | English |
Rivista: | STOCHASTIC PROCESSES AND THEIR APPLICATIONS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.spa.2016.11.007 |
Appare nelle tipologie: | 01 - Articolo su rivista |