Input-output behavior for stable linear systems
2001 (English)In: Journal of the Franklin Institute, ISSN 0016-0032, Vol. 338, no 4, 497-507 p.Article in journal (Refereed) Published
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.
linear systems, stability, input-output behavior
IdentifiersURN: urn:nbn:se:kth:diva-20718ISI: 000169368800007OAI: oai:DiVA.org:kth-20718DiVA: diva2:339414
QC 201005252010-08-102010-08-10Bibliographically approved