5 citations · 5 across the 4 of their papers we have counts for
16 papers · 1 filter
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…
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…
Symmetry reduction and recovery of trajectories of optimal control problems via measure relaxations
Nicolas Augier, Didier Henrion, Milan Korda +1
We address the problem of symmetry reduction of optimal control problems under the action of a finite group from a measure relaxation viewpoint. We propose a method based on the mo…
Peak Estimation of Time Delay Systems using Occupation Measures
Jared Miller, Milan Korda, Victor Magron +1
This work proposes a method to compute the maximum value obtained by a state function along trajectories of a Delay Differential Equation (DDE). An example of this task is finding…
Convergence rates for sums-of-squares hierarchies with correlative sparsity
Milan Korda, Victor Magron, Rodolfo Rios-Zertuche
This work derives upper bounds on the convergence rate of the moment-sum-of-squares hierarchy with correlative sparsity for global minimization of polynomials on compact basic semi…