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Realizations of behavior for generalized chain-scattering representations
preprint
posted on 2006-02-22, 15:41 authored by L. Tan, Ashley Clive Pugh, G.E. HaytonThis paper introduces a notion of realization of behavior which is shown to be a generalization
of the classical concept of a realization of transfer function. By using this
approach, the input-output structures of the generalized chain-scattering representations
(GCSRs) and the dual generalized chain-scattering representations (DGCSRs) are investigated
in a behavioral theory context. Subsequently the corresponding autoregressivemoving-
average (ARMA) representations are proposed and are proved to be realizations
of behavior for any GCSR. Realization of behavior is particularly suitable for situations in
which the coefficients are symbolic rather than numerical due to the fact that no numerical
computation is involved in this approach.
History
School
- Science
Department
- Mathematical Sciences
Pages
113437 bytesPublication date
1999Notes
This is a pre-print.Language
- en