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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.

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On the Identification of Self-Adjoint Linear Time-Varying State Models - Accepted Manuscript
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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

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

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Date deposited: 05 Nov 2018 17:30
Last modified: 27 Apr 2022 09:38

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Author: P. Rapisarda

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