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Realizations of behavior for generalized chain-scattering representations

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preprint
posted on 2006-02-22, 15:41 authored by L. Tan, Ashley Clive Pugh, G.E. Hayton
This 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 bytes

Publication date

1999

Notes

This is a pre-print.

Language

  • en

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