Buchbeiträge:
M. Miletic, D. Stürzer, A. Arnold, A. Kugi:
"Stability of an Euler-Bernouilli beam with a nonlinear dynamic feedback system";
in: "ASC Report 19/2015",
herausgegeben von: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Wien,
2015,
ISBN: 978-3-902627-08-7,
S. 1
- 21.
Kurzfassung englisch:
This paper is concerned with the stability analysis of a lossless Euler-Bernoulli beam that carries a tip payload which is coupled to a nonlinear dynamic feedback system. This setup comprises
nonlinear dynamic boundary controllers satisfying the nonlinear KYP lemma as well as the interaction with a nonlinear passive environment. Global-in-time wellposedness and asymptotic stability
is rigorously proven for the resulting closed-loop PDE-ODE system. The analysis is based on semigroup theory for the corresponding first order evolution problem. For the large-time analysis,
precompactness of the trajectories is shown by deriving uniform-in-time bounds on the solution and its time derivatives.
Elektronische Version der Publikation:
http://www.asc.tuwien.ac.at/preprint/2015/asc19x2015.pdf
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.