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 proceedingChapterAcademicpeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Title of host publicationControl Theory of Infinite-Dimensional Systems
Subtitle of host publicationAdvances and Applications
EditorsJoachim Kerner, Hafida Laasri, Delio Mugnolo
Number of pages34
ISBN (Electronic)978-3-030-35898-3
ISBN (Print)978-3-030-35897-6
Publication statusE-pub ahead of print/First online - 26 Jun 2020

Publication series

NameOperator Theory: Advances and Applications
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878


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


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