On the spectra and invertibility of certain operators in systems theory
Author(s)
Foias, Ciprian
Tannenbaum, Allen R.
Advisor(s)
Editor(s)
Collections
Supplementary to:
Permanent Link
Abstract
In this paper we study the following kind of problem. Let T be an arbitrary contraction. We will define a certain function which will lead to an explicit procedure for the computation of the isolated spectrum of w(T)w(T)', T any contraction. We will then show how this generalizes the results of [l-31. (See (2.1) and (2.2) below.) We will moreover apply our theory to operators TϵC.₀ and in particular derive a relatively simple expression for the calculation of the discrete spectrum of w (T).
We should note that from the control engineering point of view, this means that one can now solve an important special
case of the general model-matching problem discussed in [SI for
multivariate distributed systems as a well as treat a whole new range of Hankel norm approximation problems. We plan to return
to these topics in a future applications oriented paper.
Sponsor
On the spectra and invertibility of certain operators in systems theory
Date
1987-12
Extent
Resource Type
Text
Resource Subtype
Proceedings