Drummond, R. orcid.org/0000-0002-2586-1718, Guiver, C. orcid.org/0000-0002-6881-7020 and Turner, M.C. orcid.org/0000-0003-2161-7635 (2024) Exponential input-to-state stability for Lur’e systems via Integral Quadratic Constraints and Zames–Falb multipliers. IMA Journal of Mathematical Control and Information, 41 (1). pp. 1-17. ISSN 0265-0754
Abstract
Absolute stability criteria that are sufficient for global exponential stability are shown, under a Lipschitz assumption, to be sufficient for the a priori stronger exponential input-to-state stability property. Important corollaries of this result are as follows: (i) absolute stability results obtained using Zames–Falb multipliers for systems containing slope-restricted nonlinearities provide exponential input-to-state-stability under a mild detectability assumption; and (ii) more generally, many absolute stability results obtained via Integral Quadratic Constraint methods provide, with the additional Lipschitz assumption, this stronger property.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2024. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. |
Keywords: | Applied Mathematics; Mathematical Sciences |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Funding Information: | Funder Grant number ROYAL ACADEMY OF ENGINEERING (THE) ICRF\113 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 14 Feb 2024 10:47 |
Last Modified: | 07 Nov 2024 11:52 |
Status: | Published |
Publisher: | Oxford University Press (OUP) |
Refereed: | Yes |
Identification Number: | 10.1093/imamci/dnae003 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:209088 |