Feedback placement of eigenvalues for a hilbert space oscillator
Document Type
Article
Publication Date
1-1-1983
Abstract
Consider the effect of a.compact linear feedback control on the eigenvalues of a Hilbert space oscillator. It is shown that the kth eigenvalue can be perturbed 8 distance £, t only if a sequence is summable, Conditions are also derived under which a sequence of complex numbers can be obtained as eigenvalues using such a feedback control. The analysis gives an explicit form for the control in terms of the desired eigenvalues. A simple a.pplica.tion to the stabilization problem for water waves in a finite tank is given. © 1983 Taylor & Francis Group, LCC.
Publication Title
International Journal of Control
Recommended Citation
Reid, R.
(1983).
Feedback placement of eigenvalues for a hilbert space oscillator.
International Journal of Control,
38(1), 237-244.
http://doi.org/10.1080/00207178308933072
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/9088
