Abstract | ||
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We present a simple bound on the finite horizon L2[0, T]-induced norm of a linear time-invariant (LTI), not necessarily stable system which can be efficiently computed by calculating the H∞ norm of a shifted version of the original operator. As an application, we show how to use this bound to perform model reduction of unstable systems over a finite horizon. The technique is illustrated with a non-trivial physical example relevant to the appearance of time-irreversible phenomena in statistical physics. |
Year | DOI | Venue |
---|---|---|
2002 | 10.1109/ACC.2002.1023179 | American Control Conference, 2002. Proceedings of the 2002 |
Keywords | DocType | Volume |
linear systems,matrix algebra,reduced order systems,H∞ norm,L2[0, T]-induced norm,finite horizon norm,linear time-invariant system,model reduction,statistical physics,time-irreversible phenomena,unstable systems | Conference | 2 |
ISSN | ISBN | Citations |
0743-1619 | 0-7803-7298-0 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Sznaier, M. | 1 | 0 | 0.34 |
Doherty, A.C. | 2 | 0 | 0.34 |
Barahona, M. | 3 | 0 | 0.34 |
Mabuchi, H. | 4 | 0 | 0.34 |