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

35 Citations (Scopus)

299 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

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

ArticleFinal published version, 458 KBLicence: Taverne

Cite this

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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.",

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

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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

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KW - Boundary Control

KW - Input-to-state Stability

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KW - Semilinear Equation

KW - 22/2 OA procedure

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T3 - Operator Theory: Advances and Applications

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

Abstract

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

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