Publications

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Neural Operators for Bypassing Gain and Control Computations in PDE Backstepping

Luke Bhan, Yuanyuan Shi, Miroslav Krstić

IEEE TAC · 2024

  • Neural operators
  • PDE systems
  • Traffic
PDF GitHub

Neural Operators for Predictor Feedback Control of Nonlinear Delay Systems Best Paper Finalist

Luke Bhan*, Peijia Qin*, Miroslav Krstić, Yuanyuan Shi

L4DC · 2025

* Equal contribution

  • Neural operators
  • Delay systems
  • Robotics
PDF GitHub

Generalizable Motion Planning via Operator Learning

Sharath Matada*, Luke Bhan*, Yuanyuan Shi, Nikolay Atanasov

ICLR · 2025

* Equal contribution

  • Neural operators
  • Robotics
PDF GitHub

Stabilization of Nonlinear Systems with Unknown Delays via Delay-Adaptive Neural Operator Approximate Predictors provisionally accepted

Luke Bhan, Miroslav Krstić, Yuanyuan Shi

Automatica · 2026

  • Neural operators
  • Delay systems
  • Adaptive control
  • Biological systems
PDF GitHub

A Scaled Smart City for Experimental Validation of Connected and Automated Vehicles

Adam Stager, Luke Bhan, Andreas Malikopoulos, Liuhui Zhao

IFAC CTS · 2018

  • Traffic
PDF

Adaptive Control of Reaction–Diffusion PDEs via Neural Operator-Approximated Gain Kernels

Luke Bhan, Yuanyuan Shi, Miroslav Krstić

Systems & Control Letters · 2025

  • Neural operators
  • PDE systems
  • Adaptive control
  • Biological systems
PDF GitHub

Sampling-Horizon Neural Operator Predictors for Nonlinear Control Under Delayed Inputs

Luke Bhan, Peter Quawas, Miroslav Krstić, Yuanyuan Shi

IEEE Control Systems Letters · 2026

  • Neural operators
  • Delay systems
  • Robotics
PDF GitHub

PDE Control Gym: A Benchmark for Data-Driven Boundary Control of Partial Differential Equations

Luke Bhan*, Yuexin Bian*, Miroslav Krstić, Yuanyuan Shi

L4DC · 2024

* Equal contribution

  • PDE systems
  • Biological systems
  • Traffic
PDF GitHub

The Forecast Critic: Leveraging Large Language Models for Poor Forecast Identification

Luke Bhan, Hanyu Zhang, Andrew Gordon Wilson, Michael W. Mahoney, Chuck Arvin

AAAI: AI for Time Series Workshop (AI4TS) · 2026

PDF

Lotka–Sharpe Neural Operators for Control of Population PDEs preprint

Miroslav Krstić, Iasson Karafyllis, Luke Bhan, Carina Veil

IEEE TAC · 2026

  • Neural operators
  • PDE systems
  • Biological systems
PDF GitHub

Delay-Adaptive Control of Nonlinear Systems with Approximate Neural Operator Predictors

Luke Bhan, Miroslav Krstić, Yuanyuan Shi

IEEE CDC · 2025

  • Neural operators
  • Delay systems
  • Adaptive control
PDF GitHub

Predictor-Based Output-Feedback Control of Linear Systems with Time-Varying Input and Measurement Delays via Neural-Approximated Prediction Horizons preprint

Luke Bhan, Miroslav Krstić, Yuanyuan Shi

Systems & Control Letters · 2026

  • Neural operators
  • Delay systems
PDF GitHub

Adaptive Neural-Operator Backstepping Control of a Benchmark Hyperbolic PDE

Maxence Lamarque, Luke Bhan, Yuanyuan Shi, Miroslav Krstić

Automatica · 2025

  • Neural operators
  • PDE systems
  • Adaptive control
  • Traffic
PDF GitHub

Delay Compensation of Multi-Input Distinct Delay Nonlinear Systems via Neural Operators to appear

Filip Bajraktari, Luke Bhan, Miroslav Krstić, Yuanyuan Shi

ACC · 2026

  • Neural operators
  • Delay systems
  • Traffic
PDF GitHub

Gain Scheduling with a Neural Operator for a Transport PDE with Nonlinear Recirculation

Maxence Lamarque, Luke Bhan, Rafael Vázquez, Miroslav Krstić

IEEE TAC · 2025

  • Neural operators
  • PDE systems
PDF GitHub

Neural Operators of Backstepping Controller and Observer Gain Functions for Reaction–Diffusion PDEs

Miroslav Krstić, Luke Bhan, Yuanyuan Shi

Automatica · 2024

  • Neural operators
  • PDE systems
  • Biological systems
PDF GitHub

Families of Control-Cost-Parametrized Inverse-Optimal Universal Stabilizers preprint

Miroslav Krstić, Luke Bhan

Systems & Control Letters · 2026

  • Neural operators
PDF

Neural Operators for Hyperbolic PDE Backstepping Feedback Laws

Luke Bhan, Yuanyuan Shi, Miroslav Krstić

IEEE CDC · 2023

  • Neural operators
  • PDE systems
PDF GitHub

Neural Operators for Hyperbolic PDE Backstepping Kernels

Luke Bhan, Yuanyuan Shi, Miroslav Krstić

IEEE CDC · 2023

  • Neural operators
  • PDE systems
PDF GitHub

Operator Learning for Nonlinear Adaptive Control

Luke Bhan, Yuanyuan Shi, Miroslav Krstić

L4DC · 2023

  • Neural operators
  • PDE systems
  • Adaptive control
PDF GitHub

Moving-Horizon Estimators for Hyperbolic and Parabolic PDEs in 1-D

Luke Bhan, Yuanyuan Shi, Iasson Karafyllis, Miroslav Krstić, James B. Rawlings

ACC · 2024

  • PDE systems
PDF

Fault Tolerant Control Combining Reinforcement Learning and Model-Based Control

Luke Bhan, Marcos Quinones-Grueiro, Gautam Biswas

SysTol · 2021

  • Robotics
PDF

Laser-Driven Petahertz Electron Ratchet Nanobubbles

Luke Bhan, Cody L. Covington, Kálmán Varga

Nano Letters · 2022

  • Material Science
PDF

Signatures of Atomic Structure in Subfemtosecond Laser-Driven Electron Dynamics in Nanogaps

Luke Bhan, Cody L. Covington, Kálmán Varga

Physical Review B · 2022

  • Material Science
PDF

Simulation of Photo-Electron Spectrum and Electron Scattering by Dual Time Propagation

Luke Bhan, Cody L. Covington, Jason Rivas, Kálmán Varga

J. Chemical Physics · 2021

  • Material Science
PDF

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