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Discrete Roesser state models from 2D frequency data

Discrete Roesser state models from 2D frequency data
Discrete Roesser state models from 2D frequency data
We identify a general, i.e. not necessarily denominator-separable Roesser model from 2D discrete vector-geometric trajectories generated by a controllable, quarter-plane causal system. Our procedure consists of two steps: the first one is the computation of state trajectories from the factorization of constant matrices directly constructed from input-output data. The second step is the computation of the state, output, and input matrices of a Roesser model as solutions of a system of linear equations involving the given input- output data and the computed state trajectories.
2D systems , bilinear difference forms, Roesser models
0923-6082
591-610
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Rapisarda, Paolo (2019) Discrete Roesser state models from 2D frequency data. Multidimensional Systems and Signal Processing, 30 (2), 591-610. (doi:10.1007/s11045-018-0572-6).

Record type: Article

Abstract

We identify a general, i.e. not necessarily denominator-separable Roesser model from 2D discrete vector-geometric trajectories generated by a controllable, quarter-plane causal system. Our procedure consists of two steps: the first one is the computation of state trajectories from the factorization of constant matrices directly constructed from input-output data. The second step is the computation of the state, output, and input matrices of a Roesser model as solutions of a system of linear equations involving the given input- output data and the computed state trajectories.

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Accepted/In Press date: 27 March 2018
e-pub ahead of print date: 31 March 2018
Published date: April 2019
Keywords: 2D systems , bilinear difference forms, Roesser models

Identifiers

Local EPrints ID: 419300
URI: http://eprints.soton.ac.uk/id/eprint/419300
ISSN: 0923-6082
PURE UUID: 487c7427-2175-402d-8d6f-1adafae9f79f

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Date deposited: 10 Apr 2018 16:30
Last modified: 16 Mar 2024 06:26

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Author: Paolo Rapisarda

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