Uniform Detectability of Linear Time Varying Systems With Exponential Dichotomy

Markus Tranninger*, Richard Seeber, Martin Steinberger, Martin Horn

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Exponential dichotomies play a central role in stability theory for dynamical systems. They allow to split the state space into two subspaces, where all trajectories in one subspace decay whereas all trajectories in the other subspace grow, uniformly and exponentially. This letter studies uniform detectability and observability notions for linear time varying systems, which admit an exponential dichotomy. The main contributions are necessary and sufficient detectability conditions for this class of systems.
Original languageEnglish
Article number9088145
Pages (from-to)809-814
Number of pages6
JournalIEEE Control Systems Letters
Issue number4
Early online date6 May 2020
Publication statusPublished - Oct 2020


  • observers for linear systems
  • stability of linear systems
  • Time varying systems

ASJC Scopus subject areas

  • Control and Optimization
  • Control and Systems Engineering

Fields of Expertise

  • Information, Communication & Computing


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