Input-to-state stability for parabolic boundary control: Linear and semi-linear systems
Optimization and Control
2022-03-09 v1 Analysis of PDEs
Functional Analysis
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 -input-norms in the linear case and includes extensions of recent results on semilinear equations.
Cite
@article{arxiv.1908.08317,
title = {Input-to-state stability for parabolic boundary control: Linear and semi-linear systems},
author = {Felix Schwenninger},
journal= {arXiv preprint arXiv:1908.08317},
year = {2022}
}
Comments
26 pages