3 papers
math.OC2026
Operator learning for prescribed-time stabilization of reaction-diffusion systems
Kaijing Lyu, Umberto Biccari, Jun-Min Wang
This paper addresses boundary prescribed-time stabilization of a one-dimensional heat equation with spatially and temporally varying coefficients. In contrast to asymptotic or expo…
math.OC2025
Robust stabilization of hyperbolic PDE-ODE systems via Neural Operator-approximated gain kernels
Kaijing Lyu, Umberto Biccari, Junmin Wang
This paper investigates the mean square exponential stabilization problem for a class of coupled PDE-ODE systems with Markov jump parameters. The considered system consists of mult…
math.OC2025
Neural Operators for Adaptive Control of Traffic Flow Models
Kaijing Lyu, Junmin Wang, Yihuai Zhang +1
The uncertainty in human driving behaviors leads to stop-and-go instabilities in freeway traffic. The traffic dynamics are typically modeled by the Aw-Rascle-Zhang (ARZ) Partial Di…