TY - UNPB
T1 - BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators
AU - Hastir, Anthony
AU - Hosfeld, René
AU - Schwenninger, Felix Leopold
AU - Wierzba, Alexander A.
PY - 2023/2/17
Y1 - 2023/2/17
N2 - This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lipschitz conditions with respect to interpolation spaces. Our results can be applied to guarantee feasibility of funnel control for coupled ODE-PDE systems, as shown by means of an example from chemical engineering.
AB - This note deals with Bounded-Input-Bounded-Output (BIBO) stability for semilinear infinite-dimensional dynamical systems allowing for boundary control and boundary observation. We give sufficient conditions that guarantee BIBO stability based on Lipschitz conditions with respect to interpolation spaces. Our results can be applied to guarantee feasibility of funnel control for coupled ODE-PDE systems, as shown by means of an example from chemical engineering.
U2 - 10.48550/arXiv.2302.09175
DO - 10.48550/arXiv.2302.09175
M3 - Preprint
BT - BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators
PB - ArXiv.org
ER -