arXiv Open Access 2026

From time series to dissipativity of linear systems with dynamic supply rates

Henk J. van Waarde Jeremy Coulson Alberto Padoan

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Abstrak

This paper studies the problem of verifying dissipativity of linear time-invariant (LTI) systems using input-output data. We leverage behavioral systems theory to express dissipativity in terms of quadratic difference forms (QDFs), allowing the study of general dynamic quadratic supply rates. We work under the assumptions that the data-generating system is controllable, and an upper bound is given on its lag. As our main results, we provide sufficient conditions for the data to be informative for dissipativity. We also show that for a specific class of static supply rates, these conditions are both necessary and sufficient. For the latter supply rates, it turns out that certification of dissipativity is only possible from data that enable unique system identification. As auxiliary results, we highlight some properties of QDFs, such as upper bounds on the degree of storage functions.

Topik & Kata Kunci

math.OC math.DS

Penulis (3)

Henk J. van Waarde

Jeremy Coulson

Alberto Padoan

Format Sitasi

APA MLA BibTeX

Waarde, H.J.v., Coulson, J., Padoan, A. (2026). From time series to dissipativity of linear systems with dynamic supply rates. https://arxiv.org/abs/2602.13654

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Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓