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Balanced Model Reduction of Linear Time-Varying Systems

Sandberg, Henrik LU and Rantzer, Anders LU orcid (2002)
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.
Please use this url to cite or link to this publication:
author
and
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
host publication
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
2016-04-04 12:23:11
date last changed
2023-09-06 14:15:32
@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}},
  keywords     = {{Model reduction; Error analysis; Linear systems; Time-varying systems; Stability criteria}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  title        = {{Balanced Model Reduction of Linear Time-Varying Systems}},
  url          = {{https://lup.lub.lu.se/search/files/5993046/8866558.pdf}},
  year         = {{2002}},
}