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math.OC2023
Convergence in nonlinear optimal sampled-data control problems
Loïc Bourdin, Emmanuel Trélat
Consider, on the one part, a general nonlinear finite-dimensional optimal control problem and assume that it has a unique solution whose state is denoted by . On the other par…
math.OC2023
Approximate control of parabolic equations with on-off shape controls by Fenchel duality
Camille Pouchol, Emmanuel Trélat, Christophe Zhang
We consider the internal control of linear parabolic equations through on-off shape controls, i.e., controls of the form with and with a prescri…
math.OC2020★ 2 cited
Linear turnpike theorem
Emmanuel Trélat
The turnpike phenomenon stipulates that the solution of an optimal control problem in large time, remains essentially close to a steady-state of the dynamics, itself being the opti…