Spectral test for observability and detectability of discrete-time linear time-varying systems

Marc A. Peters, Pablo A. Iglesias

Research output: Contribution to journalConference article


The PBH test is a well known and powerful spectral test for the observability of linear time-invariant systems. In this paper we show that a similar test exists for linear time-varying systems. The test presented here involves a check over part of the spectrum of the weighted block shift known as approximate eigenvalues.

Original languageEnglish (US)
Pages (from-to)3920-3925
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1997
EventProceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
Duration: Dec 10 1997Dec 12 1997


ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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