In this section
@article{Padoan:2015:10.1109/TAC.2015.2478128,
author = {Padoan, A and Astolfi, A},
doi = {10.1109/TAC.2015.2478128},
journal = {IEEE Transactions on Automatic Control},
pages = {1409--1412},
title = {A Note on Delay Coordinates for Locally Observable Analytic Systems},
url = {http://dx.doi.org/10.1109/TAC.2015.2478128},
volume = {61},
year = {2015}
}
TY - JOUR
AB - 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.
AU - Padoan,A
AU - Astolfi,A
DO - 10.1109/TAC.2015.2478128
EP - 1412
PY - 2015///
SN - 1558-2523
SP - 1409
TI - A Note on Delay Coordinates for Locally Observable Analytic Systems
T2 - IEEE Transactions on Automatic Control
UR - http://dx.doi.org/10.1109/TAC.2015.2478128
UR - http://hdl.handle.net/10044/1/39000
VL - 61
ER -