Abstract
Let left brace A,b,c right brace be an infinite-dimensional system on a Hilbert space H. Suppose f( lambda ) equals (( lambda I minus A)** minus **1b,c) is the transfer function of the system. It is shown that if A is a compact operator or spectral operator, then the set of singularities of f is the spectrum of A.
| Original language | English |
|---|---|
| Pages (from-to) | 945-950 |
| Number of pages | 6 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 14 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Jan 1976 |
ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics