Input-to-state stability for parabolic boundary control:linear and semilinear systems

Felix L. Schwenninger

doi:10.1007/978-3-030-35898-3_4

Input-to-state stability for parabolic boundary control:linear and semilinear systems

Felix L. Schwenninger^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

27 Citations (Scopus)

98 Downloads (Pure)

Abstract

Input-to-state stability (ISS) for systems described by partial differential equations has seen intensified research activity recently, and in particular the class of boundary control systems, for which truly infinite-dimensional effects enter the situation. This note reviews input-to-state stability for parabolic equations with respect to general L^p-input-norms in the linear case and includes extensions of recent results on semilinear equations.

Original language	English
Title of host publication	Control Theory of Infinite-Dimensional Systems
Subtitle of host publication	Advances and Applications
Editors	Joachim Kerner, Hafida Laasri, Delio Mugnolo
Publisher	Springer
Pages	83-116
Number of pages	34
ISBN (Electronic)	978-3-030-35898-3
ISBN (Print)	978-3-030-35897-6
DOIs	https://doi.org/10.1007/978-3-030-35898-3_4
Publication status	Published - 26 Jun 2020

Publication series

Name	Operator Theory: Advances and Applications
Volume	277
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

Keywords

Boundary Control
Input-to-state Stability
Parabolic Equation
Semilinear Equation
22/2 OA procedure

Access to Document

10.1007/978-3-030-35898-3_4

ArticleFinal published version, 458 KBLicence: Taverne

Cite this

@inbook{4b5002f2df7140b7b284075ae83dbd9f,

title = "Input-to-state stability for parabolic boundary control:linear and semilinear systems",

abstract = "Input-to-state stability (ISS) for systems described by partial differential equations has seen intensified research activity recently, and in particular the class of boundary control systems, for which truly infinite-dimensional effects enter the situation. This note reviews input-to-state stability for parabolic equations with respect to general Lp-input-norms in the linear case and includes extensions of recent results on semilinear equations.",

keywords = "Boundary Control, Input-to-state Stability, Parabolic Equation, Semilinear Equation, 22/2 OA procedure",

author = "Schwenninger, {Felix L.}",

year = "2020",

month = jun,

day = "26",

doi = "10.1007/978-3-030-35898-3_4",

language = "English",

isbn = "978-3-030-35897-6",

series = "Operator Theory: Advances and Applications",

publisher = "Springer",

pages = "83--116",

editor = "Joachim Kerner and Hafida Laasri and Delio Mugnolo",

booktitle = "Control Theory of Infinite-Dimensional Systems",

address = "Germany",

}

Input-to-state stability for parabolic boundary control:linear and semilinear systems. / Schwenninger, Felix L.
Control Theory of Infinite-Dimensional Systems: Advances and Applications. ed. / Joachim Kerner; Hafida Laasri; Delio Mugnolo. Springer, 2020. p. 83-116 (Operator Theory: Advances and Applications; Vol. 277).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic › peer-review

TY - CHAP

T1 - Input-to-state stability for parabolic boundary control:linear and semilinear systems

AU - Schwenninger, Felix L.

PY - 2020/6/26

Y1 - 2020/6/26

N2 - Input-to-state stability (ISS) for systems described by partial differential equations has seen intensified research activity recently, and in particular the class of boundary control systems, for which truly infinite-dimensional effects enter the situation. This note reviews input-to-state stability for parabolic equations with respect to general Lp-input-norms in the linear case and includes extensions of recent results on semilinear equations.

AB - Input-to-state stability (ISS) for systems described by partial differential equations has seen intensified research activity recently, and in particular the class of boundary control systems, for which truly infinite-dimensional effects enter the situation. This note reviews input-to-state stability for parabolic equations with respect to general Lp-input-norms in the linear case and includes extensions of recent results on semilinear equations.

KW - Boundary Control

KW - Input-to-state Stability

KW - Parabolic Equation

KW - Semilinear Equation

KW - 22/2 OA procedure

UR - http://www.scopus.com/inward/record.url?scp=85087559625&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-35898-3_4

DO - 10.1007/978-3-030-35898-3_4

M3 - Chapter

AN - SCOPUS:85087559625

SN - 978-3-030-35897-6

T3 - Operator Theory: Advances and Applications

SP - 83

EP - 116

BT - Control Theory of Infinite-Dimensional Systems

A2 - Kerner, Joachim

A2 - Laasri, Hafida

A2 - Mugnolo, Delio

PB - Springer

ER -

Input-to-state stability for parabolic boundary control:linear and semilinear systems

Abstract

Publication series

Keywords

Access to Document

Other files and links

Fingerprint

Input-to-state stability for parabolic boundary control: Linear and semi-linear systems

Cite this