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Input-output behavior for stable linear systems
KTH, Superseded Departments, Mathematics.ORCID iD: 0000-0003-0177-1993
2001 (English)In: Journal of the Franklin Institute, ISSN 0016-0032, Vol. 338, no 4, 497-507 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, a controllable, observable, asymptotically stable, finite-dimensional linear system is considered. The input-output problem considered is whether the input in a fairly general class of Hilbert spaces will produce the output in the same class. The problem in this generality appears to be very difficult and in this paper a large class of Hilbert spaces is determined for which the result is true and a series of counter examples are given to the more obvious conjectures.

Place, publisher, year, edition, pages
2001. Vol. 338, no 4, 497-507 p.
Keyword [en]
linear systems, stability, input-output behavior
URN: urn:nbn:se:kth:diva-20718ISI: 000169368800007OAI: diva2:339414
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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