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Balanced Model Reduction of Linear Time-Varying Systems

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Author

Summary, in English

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.

Publishing year

2002

Language

English

Publication/Series

Proceedings of the 15th IFAC world congress

Document type

Conference paper

Publisher

Elsevier

Topic

  • Control Engineering

Keywords

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

Status

Published

ISBN/ISSN/Other

  • ISBN: 0-08-044184-X