Observer design for an infectious disease PDE model considering reinfection

被引：3

作者：

Sano, Hideki ^{[1
]}

Kuniya, Toshikazu ^{[1
]}

机构：

[1] Kobe Univ, Grad Sch Syst Informat, Dept Appl Math, 1-1 Rokkodai, Nada, Kobe 6578501, Japan

来源：

AUTOMATICA | 2023年 / 155卷

关键词：

Kermack-McKendrick equation; First-order hyperbolic system; Time lag; Observer; Backstepping methodology; OUTPUT REGULATION; STABILIZATION; SYSTEM;

D O I：

10.1016/j.automatica.2023.111091

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is concerned with the observer design problem for a system composed of two Kermack- McKendrick equations considering reinfection. The system is described by two first-order hyperbolic equations that have a time lag in the nonlocal boundary condition. The element of time lag can be expressed by a transport equation. As a result, the system with one delay is equivalently written by a 3 x 3 hyperbolic equations system. In this paper, we construct observers using a backstepping methodology of PDEs. Especially, decoupling transformations are used. Numerical experimental results are also given.& COPY; 2023 Elsevier Ltd. All rights reserved.

引用

页数：10

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