Uniform Detectability of Linear Time Varying Systems With Exponential Dichotomy

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Abstract

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
Pages (from-to)809-814
JournalIEEE Control Systems Letters
Volume4
Issue number4
Early online date6 May 2020
DOIs
Publication statusE-pub ahead of print - 6 May 2020

Fields of Expertise

  • Information, Communication & Computing

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