Inertial manifold and state estimation of dissipative nonlinear PDE systems

被引：0

作者：

Xiao, Mingqing ^{[1
]}

Huang, Tingwen ^{[2
]}

机构：

[1] So Illinois Univ, Carbondale, IL 62901 USA

[2] Texas A&M Univ Qatar, Qatar Fdn, Doha, Qatar

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 11期

基金：

美国国家科学基金会;

关键词：

93B07; 35R20; 35R10; inertial manifold; state estimation; observer design; dissipative PDE system; OBSERVERS; EXISTENCE;

D O I：

10.1080/00036811.2014.946659

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the state estimation problem of dissipative PDE systems that possess inertial manifolds. We show that if a sufficient large number of finite modes are observable, then an observer can be constructed to estimate the state of the PDE system. The convergence of the corresponding error dynamics is exponential and global, and the convergent rate is identified. A numerical example is provided to illustrate the theoretical result of the proposed approach.

引用

页码：2386 / 2401

页数：16

共 31 条

[1]

[Anonymous], 1981, APPL CTR MANIFOLD TH

[2]

[Anonymous], 1989, J. Dyn. Differ. Equations, V1, P245

[3] THE LINEAR REGULATOR PROBLEM FOR PARABOLIC-SYSTEMS [J].