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Balanced Truncation of Linear Time-Varying Systems.
- Source :
-
IEEE Transactions on Automatic Control . Feb2004, Vol. 49 Issue 2, p217-229. 13p. - Publication Year :
- 2004
-
Abstract
- In this paper, balanced truncation of linear time-varying systems is studied in discrete and continuous time. Based on relatively basic calculations with time-varying Lyapunov equations/inequalities we are able to derive both upper and lower error bounds for the truncated models. These results generalize well-known time-invariant formulas. The case of time-varying state dimension is considered. Input-output stability of all truncated balanced realizations is also proven. The method is finally successfully applied to a high-order model. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 49
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 12464158
- Full Text :
- https://doi.org/10.1109/TAC.2003.822862