Abstract
The notions of reachability and controllability generalize to infinite-dimensional systems in two different ways. We show that the strong notions are equivalent to finite-time reachability and controllability. For discrete systems in Hilbert space, we get simple relations generalizing the Kalman conditions. In the case of a continuous system in Hilbert space, weak reachability is equivalent to the weak reachability of a related discrete system via the Cayley transform.
| Original language | English |
|---|---|
| Pages (from-to) | 77-89 |
| Number of pages | 13 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 9 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Feb 1972 |
| Externally published | Yes |
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics