Abstract
This paper presents a continuous-time extension condition which has applications in the areas of identification and model validation of continuous-time systems. Consider two signals, specified on a finite interval. The result gives a necessary and sufficient condition for the existence of a contractive, causal, linear, time-invariant operator, mapping one signal to the other. This result is a continuous time analog of the classical Carathéodory extension theorem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 738-742 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 41 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1996 |
| Externally published | Yes |
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering