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Balanced Model Reduction of Linear Time-Varying Systems

Sandberg, Henrik LU and Rantzer, Anders LU (2002) In Proceedings of the 15th IFAC world congress
Abstract
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.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
keywords
Model reduction, Error analysis, Linear systems, Time-varying systems, Stability criteria
in
Proceedings of the 15th IFAC world congress
publisher
Elsevier
external identifiers
  • Scopus:84945554058
ISBN
0-08-044184-X
language
English
LU publication?
yes
id
01855f3e-3a3a-48b4-be55-e8f7d180f4a8 (old id 537688)
date added to LUP
2007-09-25 09:57:08
date last changed
2017-01-01 08:08:26
@inproceedings{01855f3e-3a3a-48b4-be55-e8f7d180f4a8,
  abstract     = {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.},
  author       = {Sandberg, Henrik and Rantzer, Anders},
  booktitle    = {Proceedings of the 15th IFAC world congress},
  isbn         = {0-08-044184-X},
  keyword      = {Model reduction,Error analysis,Linear systems,Time-varying systems,Stability criteria},
  language     = {eng},
  publisher    = {Elsevier},
  title        = {Balanced Model Reduction of Linear Time-Varying Systems},
  year         = {2002},
}