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Hilbert—Schmidt Systems with Finite-Dimensional State Spaces

✍ Scribed by J.E. Rubio; D.A. Wilson

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
202 KB
Volume
313
Category
Article
ISSN
0016-0032

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✦ Synopsis

The problem of characterizing the input-output behaviour of those linear systems which admit internal representations with finite-dimensional state spaces is studied in this paper. The systems are assumed to be Hilbert-Schmidt systems, and the main result is derived using well-known properties of the kernels of the associated Hankel operators. A necessary and suficient condition is derived for a system to admit a completely observable and completely accessible internal representation with a

finite-dimensional state space.

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