| More scholars are intereted in Partial differential eqution of nonlinear system and coupled system. There is little research on partial system with time delay, this paper studies the problem of boundary control of reaction-convection-diffusion systems with time delay.First,the basic idea is transforming reaction-convection-diffusion systems with time delay to reaction-diffusion system with time delay. Introduction of one-order hyperbolic equations,the time delay system is transformed to a PDE-PDE cascade system without time delay system.Then using the invertible transform,the cascade system is transformed to a stable target system.In the design process,it has produced three kernel functions. The three kernel functions are applied with recursive estimation and numerical analysis of reproducing kernel space and the well prsedness of the kernel functions is obtained. Then, the stability of the system is analyzed, the basic method is Lyapounov stability theory. The three Lyapunov functions are constructed by three systems, and the functional relations among the three Lyapunov functions are determined. |
