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

## Abstract

© 1963-2012 IEEE. 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 |
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Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 10 Feb 2019 20:04 |

Last Modified: | 26 Nov 2019 03:03 |

DOI: | 10.1109/TAC.2015.2478128 |