The lossless embedding problem for time-varying contractive systems

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1 Scopus citations


We consider the problem of extending a given causal time-varying contraction T to become the partial input-output operator of a lossless system. We give a necessary and sufficient condition for the existence of such an embedding. In particular, this is the case for T strictly contractive. We show how to construct a large class of extensions for this case and discuss various examples of arbitrary contractions.

Original languageEnglish
Pages (from-to)181-187
Number of pages7
JournalSystems and Control Letters
Issue number4
StatePublished - 19 Aug 1996


  • Contractions
  • Linear time-varying systems
  • Lossless embedding

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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