2 papers
math.AP2025
Rapid boundary stabilization of 1D nonlinear parabolic equations
Yu Xiao, Can Zhang
In this paper, we focus on the rapid boundary stabilization of 1D nonlinear parabolic equations via the modal decomposition method. The nonlinear term is assumed to satisfy certain…
math.AP2024
Intelligent acceleration adaptive control of linear hyperbolic PDE systems
Xianhe Zhang, Yu Xiao, Xiaodong Xu +1
Traditional approaches to stabilizing hyperbolic PDEs, such as PDE backstepping, often encounter challenges when dealing with high-dimensional or complex nonlinear problems. Their…