The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection

Dong Xia Zhao; Jun Min Wang; Ya Ping Guo

doi:10.1007/s12555-017-0713-y

The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection

Dong Xia Zhao^*, Jun Min Wang, Ya Ping Guo

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

14 引用（Scopus）

摘要

This paper addresses the exponential stability for an interconnected system of an nth-order ODE system with the input governed by the Dirichlet boundary of a heat equation, and conversely, the output of the ODE is fluxed into the heat equation. The semigroup approach is adopted to show that the system operator is well-posed. We establish the exponential stability of the system by Riesz basis method. Furthermore, with MATLAB software, some numerical simulations are presented to show the effectiveness of the interconnection between the heat PDE and ODE systems.

源语言	英语
页（从-至）	38-45
页数	8
期刊	International Journal of Control, Automation and Systems
卷	17
期	1
DOI	https://doi.org/10.1007/s12555-017-0713-y
出版状态	已出版 - 1 1月 2019

访问文件

10.1007/s12555-017-0713-y

其它文件与链接

链接到 Scopus 的出版物

引用此

Zhao, D. X., Wang, J. M., & Guo, Y. P. (2019). The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection. International Journal of Control, Automation and Systems, 17(1), 38-45. https://doi.org/10.1007/s12555-017-0713-y

@article{e6a05d3c5a9b40bd8a49851d21d2c1a2,

title = "The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection",

abstract = "This paper addresses the exponential stability for an interconnected system of an nth-order ODE system with the input governed by the Dirichlet boundary of a heat equation, and conversely, the output of the ODE is fluxed into the heat equation. The semigroup approach is adopted to show that the system operator is well-posed. We establish the exponential stability of the system by Riesz basis method. Furthermore, with MATLAB software, some numerical simulations are presented to show the effectiveness of the interconnection between the heat PDE and ODE systems.",

keywords = "Coupled system, exponential stability, heat equation, spectral analysis",

author = "Zhao, {Dong Xia} and Wang, {Jun Min} and Guo, {Ya Ping}",

note = "Publisher Copyright: {\textcopyright} 2019, Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers and Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2019",

month = jan,

day = "1",

doi = "10.1007/s12555-017-0713-y",

language = "English",

volume = "17",

pages = "38--45",

journal = "International Journal of Control, Automation and Systems",

issn = "1598-6446",

publisher = "Institute of Control, Robotics and Systems",

number = "1",

}

TY - JOUR

T1 - The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection

AU - Zhao, Dong Xia

AU - Wang, Jun Min

AU - Guo, Ya Ping

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This paper addresses the exponential stability for an interconnected system of an nth-order ODE system with the input governed by the Dirichlet boundary of a heat equation, and conversely, the output of the ODE is fluxed into the heat equation. The semigroup approach is adopted to show that the system operator is well-posed. We establish the exponential stability of the system by Riesz basis method. Furthermore, with MATLAB software, some numerical simulations are presented to show the effectiveness of the interconnection between the heat PDE and ODE systems.

AB - This paper addresses the exponential stability for an interconnected system of an nth-order ODE system with the input governed by the Dirichlet boundary of a heat equation, and conversely, the output of the ODE is fluxed into the heat equation. The semigroup approach is adopted to show that the system operator is well-posed. We establish the exponential stability of the system by Riesz basis method. Furthermore, with MATLAB software, some numerical simulations are presented to show the effectiveness of the interconnection between the heat PDE and ODE systems.

KW - Coupled system

KW - exponential stability

KW - heat equation

KW - spectral analysis

UR - http://www.scopus.com/inward/record.url?scp=85059456425&partnerID=8YFLogxK

U2 - 10.1007/s12555-017-0713-y

DO - 10.1007/s12555-017-0713-y

M3 - Article

AN - SCOPUS:85059456425

SN - 1598-6446

VL - 17

SP - 38

EP - 45

JO - International Journal of Control, Automation and Systems

JF - International Journal of Control, Automation and Systems

IS - 1

ER -

The Direct Feedback Control and Exponential Stabilization of a Coupled Heat PDE-ODE System with Dirichlet Boundary Interconnection

摘要

访问文件

其它文件与链接

指纹

引用此