A Loewner matrix approach to the identification of linear time-varying systems
A Loewner matrix approach to the identification of linear time-varying systems
We show that if enough “sufficiently informative” input-output trajectories generated by a linear, time-varying, finite-dimensional system and its dual are given, then state trajectories corresponding to them can be computed by factorizing a time- varying matrix directly constructed from the data. From such input-state-output trajectories an “unfalsified” linear time-varying model can be obtained solving a system of functional equations. Our approach is particularly relevant when the data- producing system is self-dual (e.g. if it is conservative).
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
2020
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rapisarda, Paolo
(2020)
A Loewner matrix approach to the identification of linear time-varying systems.
In,
Beattie, C., Benner, P., Embree, M., Gugercin, S. and Lefteriu, S.
(eds.)
Realization and Model Reduction of Dynamical Systems: A Festschrift in Honor of the 70th Birthday of Thanos Antoulas.
Springer.
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Abstract
We show that if enough “sufficiently informative” input-output trajectories generated by a linear, time-varying, finite-dimensional system and its dual are given, then state trajectories corresponding to them can be computed by factorizing a time- varying matrix directly constructed from the data. From such input-state-output trajectories an “unfalsified” linear time-varying model can be obtained solving a system of functional equations. Our approach is particularly relevant when the data- producing system is self-dual (e.g. if it is conservative).
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Duality
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Accepted/In Press date: 2020
Published date: 2020
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Local EPrints ID: 442862
URI: http://eprints.soton.ac.uk/id/eprint/442862
PURE UUID: 3d8f7d56-80dc-494e-a018-f5c4386f4220
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Date deposited: 30 Jul 2020 16:30
Last modified: 16 Mar 2024 08:45
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Contributors
Author:
Paolo Rapisarda
Editor:
C. Beattie
Editor:
P. Benner
Editor:
M. Embree
Editor:
S. Gugercin
Editor:
S. Lefteriu
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