The University of Southampton
×
Filter your search:
University of Southampton Institutional Repository

On the identification of self-adjoint linear time-varying state models

On the identification of self-adjoint linear time-varying state models
On the identification of self-adjoint linear time-varying state models

A novel approach to the identification of linear time-varying (LTV) systems is illustrated, based on the concept of duality. Generically, if N input-output trajectories (uk, yk), k = 1,…,N of a self-adjoint LTV system are known, then the duality relation can be used to derive state trajectories xk, k = 1,… N corresponding to such data. Such state trajectories are computed by factorizing a matrix directly constructed from input-output data of the primal and the dual system. From such input-state-output trajectories an “unfalsified” linear time-varying model can be obtained solving a system of functional equations.

behavioral system theory, linear time-varying systems, System identification
2405-8963
251-256
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Rapisarda, P. (2018) On the identification of self-adjoint linear time-varying state models. IFAC-PapersOnLine, 51 (15), 251-256. (doi:10.1016/j.ifacol.2018.09.143).

Record type: Article

Abstract

A novel approach to the identification of linear time-varying (LTV) systems is illustrated, based on the concept of duality. Generically, if N input-output trajectories (uk, yk), k = 1,…,N of a self-adjoint LTV system are known, then the duality relation can be used to derive state trajectories xk, k = 1,… N corresponding to such data. Such state trajectories are computed by factorizing a matrix directly constructed from input-output data of the primal and the dual system. From such input-state-output trajectories an “unfalsified” linear time-varying model can be obtained solving a system of functional equations.

Text
On the Identification of Self-Adjoint Linear Time-Varying State Models - Accepted Manuscript
Available under License Creative Commons Attribution Non-commercial No Derivatives.
Download (492kB)

More information

Accepted/In Press date: 6 April 2018
e-pub ahead of print date: 8 October 2018
Keywords: behavioral system theory, linear time-varying systems, System identification
Learn more about Vision, Learning and Control research

Identifiers

Local EPrints ID: 425875
URI: http://eprints.soton.ac.uk/id/eprint/425875
DOI: doi:10.1016/j.ifacol.2018.09.143
ISSN: 2405-8963
PURE UUID: 37310652-f3cd-4656-bde9-1305f984aa44

Catalogue record

Date deposited: 05 Nov 2018 17:30
Last modified: 15 Mar 2024 22:12

Export record

Altmetrics

Contributors

Author: P. Rapisarda

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Library staff additional information
Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×