activity
20242026
collaborators

8 papers

math.OC2026

MPC and System Identification with Differentiable Physics: Fluid System and Particle Beam Control

Alan Williams, Alp Sunol

We consider the problem of simultaneous control and parameter estimation when the model is available only as a differentiable physics simulator. We propose a receding-horizon contr…

math.OC2026

Nested Extremum Seeking Converges to Stackelberg Equilibrium

Brad Ratto, Alan Williams, Miroslav Krstić +2

The nested Extremum Seeking (nES) algorithm is a model-free optimization method that has been shown to converge to a neighborhood of a Nash equilibrium. In this work, we demonstrat…

cs.LG2026

Improved Robustness of Deep Reinforcement Learning for Control of Time-Varying Systems by Bounded Extremum Seeking

Shaifalee Saxena, Alan Williams, Rafael Fierro +1

In this paper, we study the use of robust model independent bounded extremum seeking (ES) feedback control to improve the robustness of deep reinforcement learning (DRL) controller…

math.OC2025

Generalized Multi-Constraint Extremum Seeking

Alan Williams, Jorge Cortés, Alexander Scheinker

We generalize the Safe Extremum Seeking algorithm to address the minimization of an unknown objective function subject to multiple unknown inequality and equality constraints, rely…

physics.acc-ph2025

Adaptive conditional latent diffusion maps beam loss to 2D phase space projections

Alexander Scheinker, Alan Williams

Beam loss (BLM) and beam current monitors (BCM) are ubiquitous at particle accelerator around the world. These simple devices provide non-invasive high level beam measurements, but…

math.OC2024

QP Based Constrained Optimization for Reliable PINN Training

Alan Williams, Christopher Leon, Alexander Scheinker

Physics-Informed Neural Networks (PINNs) have emerged as a powerful tool for integrating physics-based constraints and data to address forward and inverse problems in machine learn…