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December 2018, 7(4): 571-585. doi: 10.3934/eect.2018027
Optimal control for the stochastic FitzHugh-Nagumo model with recovery variable
Francesco Cordoni and Luca Di Persio ,
University of Verona - Department of Computer Science, Strada le Grazie 15, 37134, Verona, Italy
* Corresponding author: Luca Di Persio
Received May 2018 Revised July 2018 Published September 2018
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In the present paper we derive the existence and uniqueness of the solution for the optimal control problem governed by the stochastic FitzHugh-Nagumo equation with recovery variable. Since the drift coefficient is characterized by a cubic non-linearity, standard techniques cannot be applied, instead we exploit the Ekeland's variational principle.
Keywords: Stochastic FitzHugh-Nagumo equation, tochastic optimal control, Ekeland's variational principle, stochastic partial differential equations.
Mathematics Subject Classification: Primary: 34K35, 35R60, 49J53, 49K99, 60H15, 65K10, 93E03.
Citation: Francesco Cordoni, Luca Di Persio. Optimal control for the stochastic FitzHugh-Nagumo model with recovery variable. Evolution Equations & Control Theory, 2018, 7 (4) : 571-585. doi: 10.3934/eect.2018027
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