@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",

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

year = "2020",

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 Singapore",

pages = "83--116",

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

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

address = "Singapore",

}