On l to l performance of slowly varying systems

Petros G. Voulgaris, Munther A. Dahleh

Research output: Contribution to journalArticlepeer-review


In this paper we present a result on the l to l performance of slowly time varying systems. In particular we show that the performance of such systems cannot be much worse than that of the frozen-time systems which are time invariant. We also demonstrate via an example that optimal frozen-time design may in general result to far from optimal l to l performance even though the time variations of the system can be arbitrarily slow.

Original languageEnglish (US)
Pages (from-to)243-249
Number of pages7
JournalSystems and Control Letters
Issue number4
StatePublished - Mar 10 1995


  • Coprime
  • Discrete time
  • Frozen-time design
  • Optimal
  • Slowly time-varying
  • Worst case

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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