Strong and weak stabilization of semi-linear parabolic systems

Rabie Zine; Abdessamad El Alami

doi:10.1093/imamci/dny038

Strong and weak stabilization of semi-linear parabolic systems

Rabie Zine
, Abdessamad El Alami

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The goal of this paper is to study feedback stabilization of infinite semi-linear parabolic systems evolving on a spatial domain $\Omega $. We consider a decomposition of the state space via the spectral properties of the system. Then we will apply this approach to both strong and weak stabilization problem using bounded feedback. Applications are presented.

Original language	English
Pages (from-to)	50-63
Number of pages	14
Journal	IMA Journal of Mathematical Control and Information
Volume	37
Issue number	1
DOIs	https://doi.org/10.1093/imamci/dny038
State	Published - 9 Mar 2020
Externally published	Yes

Keywords

constrained controls
feedback stabilization
robustness
semi-linear systems

Access to Document

10.1093/imamci/dny038

Cite this

@article{a4b776715a9b4115ac94621c53836f76,

title = "Strong and weak stabilization of semi-linear parabolic systems",

abstract = "The goal of this paper is to study feedback stabilization of infinite semi-linear parabolic systems evolving on a spatial domain \$\textbackslash{}Omega \$. We consider a decomposition of the state space via the spectral properties of the system. Then we will apply this approach to both strong and weak stabilization problem using bounded feedback. Applications are presented.",

keywords = "constrained controls, feedback stabilization, robustness, semi-linear systems",

author = "Rabie Zine and \{El Alami\}, Abdessamad",

year = "2020",

month = mar,

day = "9",

doi = "10.1093/imamci/dny038",

language = "English",

volume = "37",

pages = "50--63",

journal = "IMA Journal of Mathematical Control and Information",

issn = "0265-0754",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - Strong and weak stabilization of semi-linear parabolic systems

AU - Zine, Rabie

AU - El Alami, Abdessamad

PY - 2020/3/9

Y1 - 2020/3/9

N2 - The goal of this paper is to study feedback stabilization of infinite semi-linear parabolic systems evolving on a spatial domain $\Omega $. We consider a decomposition of the state space via the spectral properties of the system. Then we will apply this approach to both strong and weak stabilization problem using bounded feedback. Applications are presented.

AB - The goal of this paper is to study feedback stabilization of infinite semi-linear parabolic systems evolving on a spatial domain $\Omega $. We consider a decomposition of the state space via the spectral properties of the system. Then we will apply this approach to both strong and weak stabilization problem using bounded feedback. Applications are presented.

KW - constrained controls

KW - feedback stabilization

KW - robustness

KW - semi-linear systems

UR - https://www.scopus.com/pages/publications/85082084841

U2 - 10.1093/imamci/dny038

DO - 10.1093/imamci/dny038

M3 - Article

AN - SCOPUS:85082084841

SN - 0265-0754

VL - 37

SP - 50

EP - 63

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 1

ER -

Strong and weak stabilization of semi-linear parabolic systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this