Open access
Date
2023Type
- Conference Paper
ETH Bibliography
yes
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Abstract
The paper studies conical, convex, and affine models in the framework of behavioral systems theory. We investigate basic properties of such behaviors and address the problem of constructing models from measured data. We prove that closed, shift-invariant, conical, convex, and affine models have the intersection property, thereby enabling the definition of most powerful unfalsified models based on infinite-horizon measurements. We then provide necessary and sufficient conditions for representing conical, convex, and affine finite-horizon behaviors using raw data matrices, expressing persistence of excitation requirements in terms of non-negative rank conditions. The applicability of our results is demonstrated by a numerical example arising in population ecology. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000651717Publication status
publishedExternal links
Book title
2023 62nd IEEE Conference on Decision and Control (CDC)Pages / Article No.
Publisher
IEEEEvent
Organisational unit
03751 - Lygeros, John / Lygeros, John
09478 - Dörfler, Florian / Dörfler, Florian
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ETH Bibliography
yes
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