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Identification of externally positive systems

Grussler, Christian LU ; Umenberger, Jack and Manchester, Ian R. (2018) 56th IEEE Annual Conference on Decision and Control, CDC 2017 2018-January. p.6549-6554
Abstract

We consider identification of externally positive linear discrete-time systems from input/output data. The proposed method is formulated as a semidefinite program, and is guaranteed to identify models that are ellipsoidal cone-invariant and, consequently, externally positive. We demonstrate empirically that this cone-invariance approach can significantly reduce the conservatism associated with methods that enforce internal positivity as a sufficient condition for external positivity.

Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
volume
2018-January
pages
6 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
conference name
56th IEEE Annual Conference on Decision and Control, CDC 2017
conference location
Melbourne, Australia
conference dates
2017-12-12 - 2017-12-15
external identifiers
  • scopus:85046425492
ISBN
9781509028733
DOI
10.1109/CDC.2017.8264646
language
English
LU publication?
yes
id
41dd3601-b780-45f7-ac87-83091986cb19
date added to LUP
2018-05-17 14:46:21
date last changed
2022-04-25 07:14:42
@inproceedings{41dd3601-b780-45f7-ac87-83091986cb19,
  abstract     = {{<p>We consider identification of externally positive linear discrete-time systems from input/output data. The proposed method is formulated as a semidefinite program, and is guaranteed to identify models that are ellipsoidal cone-invariant and, consequently, externally positive. We demonstrate empirically that this cone-invariance approach can significantly reduce the conservatism associated with methods that enforce internal positivity as a sufficient condition for external positivity.</p>}},
  author       = {{Grussler, Christian and Umenberger, Jack and Manchester, Ian R.}},
  booktitle    = {{2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017}},
  isbn         = {{9781509028733}},
  language     = {{eng}},
  month        = {{01}},
  pages        = {{6549--6554}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  title        = {{Identification of externally positive systems}},
  url          = {{http://dx.doi.org/10.1109/CDC.2017.8264646}},
  doi          = {{10.1109/CDC.2017.8264646}},
  volume       = {{2018-January}},
  year         = {{2018}},
}