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

  • Felix L. SchwenningerEmail author
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 277)


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.


Input-to-state Stability Boundary Control Parabolic Equation Semilinear Equation 

Mathematics Subject Classification (2010)

93C20 35K58 47D06 93D20 93C05 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Department of Applied MathematicsUniversity of TwenteEnschedeThe Netherlands
  2. 2.Department of MathematicsCenter for Optimization and Approximation, University of HamburgHamburgGermany

Personalised recommendations