Raković, S.V. and Trodden, P. orcid.org/0000-0002-8787-7432 (2025) Equi-normalized robust positively invariant sets for linear difference inclusions. Automatica, 171. 111930. ISSN 0005-1098
Abstract
This note establishes the characterization, existence and uniqueness of equi-normalized polytopic robust positively invariant sets for linear difference inclusions. The computation of this set results in a nonconvex optimization problem. Although this may be reformulated exactly as a mixed integer linear programme, we propose a more practical and tractable alternative in the form of a fixed-point iteration based on linear programming. Convergence of the algorithm is established.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2024 The Authors. Except as otherwise noted, this author-accepted version of a journal article published in Automatica is made available via the University of Sheffield Research Publications and Copyright Policy under the terms of the Creative Commons Attribution 4.0 International License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ |
Keywords: | Robust positive invariance; Linear difference inclusions; Optimization |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > School of Electrical and Electronic Engineering |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 23 Sep 2024 11:45 |
Last Modified: | 23 Sep 2024 11:54 |
Status: | Published |
Publisher: | Elsevier BV |
Refereed: | Yes |
Identification Number: | 10.1016/j.automatica.2024.111930 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:217513 |