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math.OC2024
Finite-Dimensional RHC Control of Linear Time-Varying Parabolic PDEs: Stability Analysis and Model-Order Reduction
Behzad Azmi, Jan Rohleff, Stefan Volkwein
This chapter deals with the stabilization of a class of linear time-varying parabolic partial differential equations employing receding horizon control (RHC). Here, RHC is finite-d…
math.OC2023
On the nonmonotone linesearch for a class of infinite-dimensional nonsmooth problems
Behzad Azmi, Marco Bernreuther
This paper provides a comprehensive study of the nonmonotone forward-backward splitting (FBS) method for solving a class of nonsmooth composite problems in Hilbert spaces. The obje…
math.OC2023
Analysis of RHC for stabilization of nonautonomous parabolic equations under uncertainty
Behzad Azmi, Lukas Herrmann, Karl Kunisch
Stabilization of a class of time-varying parabolic equations with uncertain input data using Receding Horizon Control (RHC) is investigated. The diffusion coefficient and the initi…