Balanced Model Reduction of Linear Time-Varying Systems

Henrik Sandberg, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceeding

3 Citations (SciVal)


This paper treats model reduction of linear time-varying models in continuous time. The method proposed is based on time-varying Lyapunov inequalities and balancing of Gramians. An error bound for truncated models that generalizes the well-known 'twice-the-sum-of-the-tail'-formula for time-invariant balanced systems is obtained. Input-output stability of truncated balanced models is also proved.
Original languageEnglish
Title of host publicationProceedings of the 15th IFAC world congress
ISBN (Print)0-08-044184-X
Publication statusPublished - 2002

Subject classification (UKÄ)

  • Control Engineering


  • Model reduction
  • Error analysis
  • Linear systems
  • Time-varying systems
  • Stability criteria


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