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math.OC2026
Optimal Dirac controls for time-periodic bistable ODEs, application to population replacement
Grégoire Nadin, David Nahmani, Nicolas Vauchelet
This work addresses an optimal control problem on a dynamics governed by a nonlinear differential equation with a bistable time-periodic nonlinearity. This problem, relevant in pop…
math.OC2022
Localising optimality conditions for the linear optimal control of semilinear equations \emph{via} concentration results for oscillating solutions of linear parabolic equations
Idriss Mazari-Fouquer, Grégoire Nadin
We propose a fine analysis of second order optimality conditions for the optimal control of semi-linear parabolic equations with respect to the initial condition. More precisely, w…