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math.OC2025
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…
math.OC2025
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…
math.OC2025
Nonlinear Control Allocation: A Polynomial Approach
Jan Belák, Jan Bel{á}k, Didier Henrion +2
Control allocation maps the virtual control inputs requested by a high-level control law onto the physical actuators of a system. When the actuator authority is strongly nonlinear,…