3 papers
math.OC2026
Operator Learning for PDE Backstepping Control of Parabolic Equations on Time-Varying Domains
Jinrun Yan, Kai Liu, Zhong-Jie Han
This paper develops a learning-based boundary control framework for stabilizing a parabolic equation defined on time-varying spatial domain. Although the partial differential equat…
math.OC2026
Observer design and boundary output feedback stabilization for semilinear parabolic system over general multidimensional domain
Kai Liu, Hua-Cheng Zhou, Zhong-Jie Han +1
This paper investigates the output feedback stabilization of parabolic equation with Lipschitz nonlinearity over general multidimensional domain using spectral geometry theories. F…
math.OC2025
Output regulation for a reaction-diffusion system with input delay and unknown frequency
Shen Wang, Zhong-Jie Han, Kai Liu +1
This study solves the output regulation problem for a reaction-diffusion system confronting concurrent input delay and fully unidentified disturbances (encompassing both unknown fr…