Input-to-state stability for bilinear feedback systems
Analysis of PDEs
2024-02-15 v2 Functional Analysis
Optimization and Control
Abstract
Input-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schr\"odinger equation, a Navier--Stokes system and a semilinear wave equation.
Cite
@article{arxiv.2303.04563,
title = {Input-to-state stability for bilinear feedback systems},
author = {René Hosfeld and Birgit Jacob and Felix Schwenninger and Marius Tucsnak},
journal= {arXiv preprint arXiv:2303.04563},
year = {2024}
}
Comments
22 pages