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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Schwenninger, F.L. (2020). Input-to-state stability for parabolic boundary control:linear and semilinear systems. In: Kerner, J., Laasri, H., Mugnolo, D. (eds) Control Theory of Infinite-Dimensional Systems. Operator Theory: Advances and Applications(), vol 277. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-35898-3_4
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DOI: https://doi.org/10.1007/978-3-030-35898-3_4
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-35897-6
Online ISBN: 978-3-030-35898-3
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