Detectability Analysis and Observer Design for Linear Time Varying Systems

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This letter presents a new detectability criterion and a new observer design method for a class of linear time varying systems. The concept is based on the stabilization of the system’s non-negative Lyapunov exponents. The proposed observer design guarantees exponential convergence of the estimation error. Compared to classical techniques, the computational complexity of the resulting observer is drastically reduced if the number of non-negative Lyapunov exponents is small compared to the system order. A numerical simulation example demonstrates the effectiveness of the proposed approach.
Original languageEnglish
Article number8758319
Pages (from-to)331-336
Number of pages6
JournalIEEE Control Systems Letters
Issue number2
Publication statusPublished - Apr 2020
Event58th Conference on Decision and Control - Nice, France
Duration: 11 Dec 201913 Dec 2019


  • Time-varying systems
  • observers for linear systems
  • Lyapunov exponents

ASJC Scopus subject areas

  • Control and Optimization
  • Control and Systems Engineering


Dive into the research topics of 'Detectability Analysis and Observer Design for Linear Time Varying Systems'. Together they form a unique fingerprint.

Cite this