Integral input-to-state stability of unbounded bilinear control systems
Functional Analysis
2022-03-09 v3 Optimization and Control
Abstract
We study input-to-state stability of bilinear control systems with possibly unbounded control operators. Natural sufficient conditions for integral input-to-state stability are given. The obtained results are applied to a bilinearly controlled Fokker-Planck equation.
Cite
@article{arxiv.1811.08470,
title = {Integral input-to-state stability of unbounded bilinear control systems},
author = {René Hosfeld and Birgit Jacob and Felix Schwenninger},
journal= {arXiv preprint arXiv:1811.08470},
year = {2022}
}
Comments
17 pages, the manuscript has been thoroughly revised and streamlined. Furthermore, the main result could be significantly improved