From the 1 of 5 linked papers with an AI index.
5 papers
Finite-Dimensional Feedback Stabilization of Nonautonomous Stochastic Parabolic Equations
Behzad Azmi, Jonas von der Heydt, Sergio Rodrigues
The paper develops a finite‑dimensional feedback control using localized actuators to exponentially stabilize nonautonomous stochastic parabolic PDEs with both additive and multipl…
Hessian-augmented Supervised Learning for Hamilton-Jacobi-Bellman PDEs
MatÃas 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…
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…
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 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…