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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…
Occupation measure relaxations in variational problems: the role of convexity
Didier Henrion, Milan Korda, Martin Kružík +1
This work addresses the occupation measure relaxation of calculus of variations problems, which is an infinite-dimensional linear programming relaxation amenable to numerical appro…
Polynomial argmin for recovery and approximation of multivariate discontinuous functions
Didier Henrion, Milan Korda, Jean-Bernard Lasserre
We propose to approximate a (possibly discontinuous) multivariate function f (x) on a compact set by the partial minimizer arg miny p(x, y) of an appropriate polynomial p whose con…