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A Note on Delay Coordinates for Locally Observable Analytic Systems

Padoan, A and Astolfi, A (2016) A Note on Delay Coordinates for Locally Observable Analytic Systems. IEEE Transactions on Automatic Control, 61. pp. 1409-1412. ISSN 0018-9286

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Abstract

In this short note, the problem of locally reconstructing the state of a nonlinear system is studied. To avoid computational difficulties arising in the numerical differentiation of the output, the so-called delay coordinates are considered. The assumptions of analyticity and (local) observability of the system are shown to imply that a family of mappings, induced by the delay coordinates and parameterized by a time delay parameter, gives a local diffeomorphism for generic values of such delay parameter on a certain set. A worked-out example illustrates the result.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Unnamed user with email sms67@cam.ac.uk
Date Deposited: 10 Feb 2019 20:04
Last Modified: 09 Sep 2021 02:42
DOI: 10.1109/TAC.2015.2478128