Stability radius for infinite-dimensional interconnected systems
Functional Analysis
2019-12-05 v2
Abstract
The stability radius for finitely many interconnected linear exponentially stable well-posed systems with respect to static perturbations is studied. If the output space of each system is finite-dimensional, then a lower bound for the stability radius in terms of the norm of the corresponding transfer functions is given. Moreover, for regular linear systems with zero feedthrough operator and finite-dimensional output spaces a formula for the stability radius is developed.
Cite
@article{arxiv.1912.00644,
title = {Stability radius for infinite-dimensional interconnected systems},
author = {Birgit Jacob and Sebastian Möller and Christian Wyss},
journal= {arXiv preprint arXiv:1912.00644},
year = {2019}
}