This article addresses the stabilization of nonlinear reaction–diffusion equation with an unknown but bounded delay. Based on Takagi–Sugeno (T–S) fuzzy rules, a T–S partial differential (PDE) model is constructed to describe distributed parameter system. More importantly, we contribute large delay compensation and future state prediction by introducing chain subpredictors for PDE model, converg...

The fast reaction limit of a volume-surface reaction-diffusion system is rigorously investigated. We show that as the reaction rate constant goes to infinity, the original system converges to a heat equation with dynamical boundary condition. As a consequence, a dynamical boundary condition can be interpreted as a fast reaction limit of a volume-surface reaction-diffusion system.