Contributions to Books:
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",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
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.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.