Balanced model reduction of linear time-varying systems
2002 (English)In: Proceedings of the 15th IFAC World Congress, Barcelona, Spain, 2002Conference paper (Refereed)
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.
Place, publisher, year, edition, pages
model reduction, linear systems, time-varying systems, error analysis, stability criteria
IdentifiersURN: urn:nbn:se:kth:diva-75302DOI: 10.3182/20020721-6-ES-1901.00204OAI: oai:DiVA.org:kth-75302DiVA: diva2:490435
NR 201408052012-02-052012-02-05Bibliographically approved