A continuous-time extension condition

Geir Dullerud, Roy Smith

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)738-742
Number of pages5
JournalIEEE Transactions on Automatic Control
Issue number5
StatePublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


Dive into the research topics of 'A continuous-time extension condition'. Together they form a unique fingerprint.

Cite this