dorsal/arxiv
View SchemaData-Driven Time-Limited h2 Optimal Model Reduction for Linear Discrete-Time Systems
| Authors | Hiroki Sakamoto, Kazuhiro Sato |
|---|---|
| Categories | |
| ArXiv ID | 2601.08372vv1 |
| URL | https://arxiv.org/abs/2601.08372 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
This paper develops a data-driven h2 model reduction method for discrete-time linear time-invariant systems. Specifically, we solve the h2 model reduction problem defined over a finite horizon using only impulse response data. Furthermore, we show that the proposed data-driven algorithm converges to a stationary point under certain assumptions. Numerical experiments demonstrate that the proposed method constructs a good reduced-order model in terms of the h2 norm defined over the finite horizon using a SLICOT benchmark (the CD player model).
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"abstract": "This paper develops a data-driven h2 model reduction method for discrete-time linear time-invariant systems. Specifically, we solve the h2 model reduction problem defined over a finite horizon using only impulse response data. Furthermore, we show that the proposed data-driven algorithm converges to a stationary point under certain assumptions. Numerical experiments demonstrate that the proposed method constructs a good reduced-order model in terms of the h2 norm defined over the finite horizon using a SLICOT benchmark (the CD player model).",
"arxiv_id": "2601.08372",
"authors": [
"Hiroki Sakamoto",
"Kazuhiro Sato"
],
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"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Data-Driven Time-Limited h2 Optimal Model Reduction for Linear Discrete-Time Systems",
"url": "https://arxiv.org/abs/2601.08372",
"version": "v1"
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