An assumption-free theorem on discrete-time positive real systems

Branford, E; Hughes, TH
Date: 14 April 2021
Journal
IFAC-PapersOnLine
Publisher
Elsevier / International Federation of Automatic Control (IFAC)
Publisher DOI
https://doi.org/10.1016/j.ifacol.2020.12.450
Abstract
The discrete-time positive real lemma is examined and the assumptions of controllability and observability are removed. An intermediate theorem is proved that removes only the assumption of controllability. This work is intended to be the counterpart - and is inspired by - recent work on the continuous-time positive real lemma, and ...
The discrete-time positive real lemma is examined and the assumptions of controllability and observability are removed. An intermediate theorem is proved that removes only the assumption of controllability. This work is intended to be the counterpart - and is inspired by - recent work on the continuous-time positive real lemma, and does not assume asymptotic stability unlike the recent results of Ferrante and Ntogramatzidis (2017).
View full metadata

Mathematics and Statistics

Faculty of Environment, Science and Economy

Item views 0
Full item downloads 0
© 2020 The Authors. This is an open access article under the CC BY-NC-ND license: https://creativecommons.org/licenses/by-nc-nd/4.0/
Except where otherwise noted, this item's licence is described as © 2020 The Authors. This is an open access article under the CC BY-NC-ND license: https://creativecommons.org/licenses/by-nc-nd/4.0/