A Loewner Matrix Approach to the Identification of Linear Time-Varying Systems

Paolo Rapisarda ()
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Paolo Rapisarda: University of Southampton, School of Electronics and Computer Science

A chapter in Realization and Model Reduction of Dynamical Systems, 2022, pp 79-94 from Springer

Abstract: 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).

Keywords: Interpolation; Loewner matrices; Duality; Time-varying linear systems (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-95157-3_5

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DOI: 10.1007/978-3-030-95157-3_5

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