Efimov, D, Schiffer, J orcid.org/0000-0001-5639-4326, Barabanov, N et al. (1 more author) (2017) Relaxing the conditions of ISS for multistable periodic systems. In: Dochain, D, Henrion, D and Peaucelle, D, (eds.) IFAC-PapersOnline. 20th World Congress of the International Federation of Automatic Control (IFAC 2017), 09-14 Jul 2017, Toulouse, France. International Federation of Automatic Control , pp. 7217-7222.
Abstract
The input-to-state stability property of nonlinear dynamical systems with multiple invariant solutions is analyzed under the assumption that the system equations are periodic with respect to certain state variables. It is shown that stability can be concluded via a sign-indefinite function, which explicitly takes the systems’ periodicity into account. The presented approach leverages some of the difficulties encountered in the analysis of periodic systems via positive definite Lyapunov functions proposed in Angeli and Efimov (2013, 2015). The new result is established based on the framework of cell structure introduced in Leonov (1974) and illustrated via the global analysis of a nonlinear pendulum with a constant persistent input.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2016, IFAC (International Federation of Automatic Control). Hosting by Elsevier Ltd. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Input-to-state stability; Periodic system; Multistable system |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Electronic & Electrical Engineering (Leeds) > Institute of Communication & Power Networks (Leeds) |
Funding Information: | Funder Grant number EU - European Union GA 734832 |
Depositing User: | Symplectic Publications |
Date Deposited: | 23 Mar 2017 10:52 |
Last Modified: | 23 Jun 2023 22:26 |
Status: | Published |
Publisher: | International Federation of Automatic Control |
Identification Number: | 10.1016/j.ifacol.2017.08.1365 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:114064 |