1.2k citations · 1.8k across the 38 of their papers we have counts for
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Controlled Synchronization of Coupled Pendulums by Koopman Model Predictive Control
Loi Do, Milan Korda, Zdeněk Hurák
We propose and experimentally demonstrate a feedback control method that allows synchronizing the motion of a chain of several coupled nonlinear oscillators actuated through one en…
Dictionary-free Koopman model predictive control with nonlinear input transformation
Vít Cibulka, Milan Korda, Tomáš Haniš
This paper introduces a method for data-driven control based on the Koopman operator model predictive control. Unlike exiting approaches, the method does not require a dictionary a…
Time-dependent moments from partial differential equations and the time-dependent set of atoms
Raúl E. Curto, Philipp J. di Dio, Milan Korda +1
We study the time-dependent moments and associated polynomials arising from the partial differential equation , and consider in deta…
Exploiting ideal-sparsity in the generalized moment problem with application to matrix factorization ranks
Milan Korda, Monique Laurent, Victor Magron +1
We explore a new type of sparsity for the generalized moment problem (GMP) that we call ideal-sparsity. This sparsity exploits the presence of equality constraints requiring the me…
Urysohn in action: separating semialgebraic sets by polynomials
Milan Korda, Jean-Bernard Lasserre, Alexey Lazarev +2
A classical result from topology called Uryshon's lemma asserts the existence of a continuous separator of two disjoint closed sets in a sufficiently regular topological space. In…
The gap between a variational problem and its occupation measure relaxation
Milan Korda, Rodolfo Rios-Zertuche
Recent works have proposed linear programming relaxations of variational optimization problems subject to nonlinear PDE constraints based on the occupation measure formalism. The m…