News
Oberseminar-Vortrag von Patrick Bachmann „Input-to-output stability for infinite dimensional systems“
Donnerstag, der 3. Juli 2025 um 15:00 Uhr
Am Donnerstag, dem 3. Juli 2025 um 15:00 Uhr spricht im Seminarraum S 137, Gebäude NW III.
Herr M.Sc. Patrick Bachmann,
Lehrstuhl für Angewandte Mathematik,
Mathematisches Institut,
Fakultät Mathematik, Physik und Informatik,
Universität Bayreuth
im Rahmen des
Oberseminars "Numerische Mathematik, Optimierung und Dynamische Systeme"
über das Thema
„Input-to-output stability for infinite dimensional systems“.
Die wissenschaftlichen Arbeitsfelder von Patrick Baumann liegen im Bereich robuste Stabilität von Eingangs-Ausgangs-Systeme, unendlich-dimensionale Regelsysteme sowie impulsive und geschaltete Systeme.
ABSTRACT:
Input-to-output stability (IOS) is an essential characteristic of control systems with outputs
as it combines the uniform global asymptotic stability of the output dynamics with its robustness
with respect to external inputs.
We provide a superposition theorem for IOS of a broad class of nonlinear infinite-dimensional systems
with outputs. On the path to achieve this result, we introduce several novel stability and attractivity
concepts for infinite dimensional systems with outputs, several of which are new already for systems
with full-state output. Moreover, we provide a superposition theorem for systems which satisfy both the
output-Lagrange stability property and IOS, and characterize ISS in terms of IOS and input/output-to-
state stability.
Furthermore, we establish a necessary and sufficient Lyapunov criterion for IOS in terms of the novel
definition of vector IOS Lyapunov functions.
This talk is based on joint work with Sergey Dashkovskiy (Uni Würzburg) and Andrii Mironchenko
(Uni Bayreuth).
Weitere Einzelheiten erfahren Sie in der Einladung (PDF).