摘要:AbstractIn this paper, we consider the problem of constructing observers for two linearized Kermack–McKendrick models. One is a first-order hyperbolic PDE (Partial Differential Equation) model without time lag in the nonlocal boundary condition, and the other contains time lag which expresses latent period. The Kermack–McKendrick model is one of SIR (Susceptible-Infected-Recovered) models, and the linearized equation is often used in early phase of infection. In this paper, we construct an infinite-dimensional observer for each PDE model by using a backstepping approach.