Balanced Model Reduction of Linear Time-Varying Systems

Henrik Sandberg, Anders Rantzer

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Sammanfattning

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.
Originalspråkengelska
Titel på gästpublikationProceedings of the 15th IFAC world congress
FörlagElsevier
ISBN (tryckt)0-08-044184-X
StatusPublished - 2002

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