title: Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints.
abstract: Time optimal control governed by the internally controlled linear Fitzhugh-Nagumo equation with pointwise control constraint is considered. Making use of Ekeland's variational principle, we obtain Pontryagin's maximum principle for a time optimal control problem. Using the maximum principle, the bang-bang property of the optimal controls is established under appropriate assumptions.
authors.affiliation: Institut für Mathematik, Karl-Franzens-Universität Graz, A-8010 Graz, Austria.
authors.forename: Karl
authors.initials: K
authors.lastname: Kunisch
authors.forename: Lijuan
authors.initials: L
authors.lastname: Wang
keywords: Bang–bang property; Fitzhugh–Nagumo equation; Integro-differential equation; Pontryagin’s maximum principle