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Input–output behavior for stable linear systems

✍ Scribed by C. Byrnes; X. Hu; C.F. Martin; V. Shubov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
118 KB
Volume
338
Category
Article
ISSN
0016-0032

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✦ Synopsis

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.

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