4 papers
Global optimization of low-rank polynomials
Llorenç Balada Gaggioli, Didier Henrion, Milan Korda
This work considers polynomial optimization problems where the objective admits a low-rank canonical polyadic tensor decomposition. We introduce LRPOP (low-rank polynomial optimiza…
Solving unbounded optimal control problems with the moment-SOS hierarchy *
Karolına Sehnalová, Didier Henrion, Milan Korda +1
The behaviour of the moment-sums-of-squares (moment-SOS) hierarchy for polynomial optimal control problems on compact sets has been explored to a large extent. Our contribution foc…
Fast control allocation algorithm for tilt-rotor VTOL aircraft
Jan Belák, Didier Henrion, Martin Hromčík
Control algorithms initially developed for tilt-wing vertical take-off and landing (VTOL) aircraft are adapted to the tilt-rotor design. The main difference between the two types o…
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…