28 citations · 31 across the 16 of their papers we have counts for
17 papers
Interior-point proximal methods for nonsmooth optimization in Hilbert spaces with cone-ordered constraints
Behzad Azmi, Alberto De Marchi
We study an inexact interior-point method for nonsmooth, possibly nonconvex optimization in a Hilbert space with inequality constraints ordered by a cone in a Banach lattice, with…
Finite-Dimensional Feedback Stabilization of Nonautonomous Stochastic Parabolic Equations
Behzad Azmi, Jonas von der Heydt, Sergio Rodrigues
We investigate finite-dimensional feedback stabilization for nonlinear nonautonomous stochastic parabolic equations driven by -Wiener, covering both additive and multiplicative…
Hessian-augmented Supervised Learning for Hamilton-Jacobi-Bellman PDEs
Matías Gómez-Aedo, Behzad Azmi, Yuyang Huang +2
A data-driven method is developed for approximating value functions in deterministic optimal control problems with nonlinear control-affine dynamics. The Pontryagin Maximum Princip…
Finite-Dimensional MOR-Based RHC for Steering 2D Navier-Stokes Equations to Desired Trajectories
Behzad Azmi, Stefan Frei, Felix Sauer
This paper investigates the local exponential stabilization of the two-dimensional Navier--Stokes equations to a given reference trajectory by means of receding horizon control (RH…
Stabilization of Parabolic Time-Varying PDEs using Certified Reduced-Order Receding Horizon Control
Behzad Azmi, Michael Kartmann, Stefan Volkwein
We address the stabilization of linear, time-varying parabolic PDEs using finite-dimensional receding horizon controls (RHCs) derived from reduced-order models (ROMs). We first pro…
Stabilization to trajectories of nonisothermal Cahn-Hilliard equations
Behzad Azmi, Marvin Fritz, Sérgio S. Rodrigues
In this work, it is proven the semiglobal exponential stabilization to time-dependent trajectories of the nonisothermal Cahn-Hilliard equations. In the model, the input controls ar…
Output-based receding horizon stabilizing control
Behzad Azmi, Sérgio S. Rodrigues
A receding horizon control framework is coupled with a Luenberger observer to construct an output-based control input stabilizing parabolic equations. The actuators and sensors are…
Stabilizability of parabolic equations by switching controls based on point actuators
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
It is shown that a switching control involving a finite number of Dirac delta actuators is able to steer the state of a general class of nonautonomous parabolic equations to zero a…
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…
Adaptive Parameter Optimization For An Elliptic-Parabolic System Using The Reduced-Basis Method With Hierarchical A-Posteriori Error Analysis
Behzad Azmi, Andrea Petrocchi, Stefan Volkwein
In this paper the authors study a non-linear elliptic-parabolic system, which is motivated by mathematical models for lithium-ion batteries. One state satisfies a parabolic reactio…
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…
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…
Saturated feedback stabilizability to trajectories for the Schlögl parabolic equation
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
It is shown that there exist a finite number of indicator functions, which allow us to track an arbitrary given trajectory of the Schlögl model, by means of an explicit saturated f…
Stabilization of nonautonomous parabolic equations by a single moving actuator
Behzad Azmi, Karl Kunisch, Sérgio S. Rodrigues
It is shown that an internal control based on a moving indicator function is able to stabilize the state of parabolic equations evolving in rectangular domains. For proving the sta…
Optimal Feedback Law Recovery by Gradient-Augmented Sparse Polynomial Regression
Behzad Azmi, Dante Kalise, Karl Kunisch
A sparse regression approach for the computation of high-dimensional optimal feedback laws arising in deterministic nonlinear control is proposed. The approach exploits the control…
A Hybrid Finite-Dimensional RHC for Stabilization of Time-Varying Parabolic Equations
Behzad Azmi, Karl Kunisch
The present work is concerned with the stabilization of a general class of time-varying linear parabolic equations by means of a finite-dimensional receding horizon control (RHC).…
Analysis and Performance of the Barzilai-Borwein Step-Size Rules for Optimization Problems in Hilbert Spaces
Behzad Azmi, Karl Kunisch
Due to simplicity, computational cheapness, and efficiency, the Barzilai and Borwein (BB) gradient method has received a significant amount of attention in different fields of opti…