Showing math.OCShow all
2 papers · 1 filter
math.OC2026
Concentration of measure-valued solutions for semilinear parabolic equations
Charlie Lebarbé, Ãmilien Flayac, Michel Fournié +2
The moment-sum-of-squares hierarchy provides a powerful framework for solving non-convex optimal control problems by constructing a sequence of convex semidefinite relaxations. How…
math.OC2025
Optimal Control of 1D Semilinear Heat Equations with Moment-SOS Relaxations
Charlie Lebarbé, Emilien Flayac, Michel Fournié +2
We use moment-SOS (Sum Of Squares) relaxations to address the optimal control problem of the 1D heat equation perturbed with a nonlinear term. We extend the current framework of mo…