Lyapunov criterion for output-to-state stability of distributed parameter systems
We investigate output-to-state stability (OSS) for evolution equations in Banach spaces. We establish the direct OSS Lyapunov theorem and illustrate it with an example. Furthermore, we extend the notion of uniform global asymptotic stability modulo output (UGASMO) to infinite-dimensional systems and show that OSS implies UGASMO, and UGASMO guarantees the vanishing output vanishing state property.
Authors
- Andrii Mironchenko (ORCID: https://orcid.org/0000-0003-0554-8529)
- Fabian Wirth (ORCID: https://orcid.org/0000-0002-2123-3714)
- Qiaoling Chen
Institutions
- University of Passau (DE)
- University of Bayreuth (DE)
Publication Details
- Journal
- IFAC-PapersOnLine
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1016/j.ifacol.2025.08.067
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00