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Input-output behavior for stable linear systems

delete2001-07-01
delete1
PRE
AI
C
C.I. Byrnes
X
Xiaoming Hu *
C
Clyde F. Martin
S
Shubov, V
DOI：10.1016/S0016-0032(00)00085-5delete
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Abstract

Abstract

En 中文
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. (C) 2001 The Franklin Institute. Published by Elsevier Science Ltd. All rights reserved.
Keywords:
linear systems
stability
input-output behavior
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Journal

J
Journal of the Franklin Institute-Engineering and Applied Mathematics
IF:
3.7
Papers:
6.4K
Citations:
1.5W

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