Efimov, D and Schiffer, JF orcid.org/0000-0001-5639-4326 (2018) A New Criterion for Boundedness of Solutions for a Class of Periodic Systems. In: 2018 European Control Conference (ECC). 2018 European Control Conference, 12-15 Jun 2018, Limassol, Cyprus. IEEE ISBN 978-3-9524-2698-2
Abstract
A wide range of practical systems exhibits dynamics, which are periodic with respect to several state variables and which possess multiple invariant solutions. Yet, when analyzing stability of such systems, many classical techniques often fall short in that they only permit to establish local stability properties. Motivated by this, we present a new sufficient criterion for global stability of such a class of nonlinear systems. The proposed approach is characterized by two main properties. First, it develops the conventional cell structure framework to the case of multiple periodic states. Second, it extends the standard Lyapunov theory by relaxing the usual definiteness requirements of the employed Lyapunov functions to sign-indefinite functions.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © EUCA 2018. This is an author produced version of a paper accepted at the 2018 European Control Conference. |
Keywords: | Lyapunov methods, Nonlinear system theory |
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) |
Depositing User: | Symplectic Publications |
Date Deposited: | 07 Mar 2018 16:48 |
Last Modified: | 25 Jan 2019 11:03 |
Status: | Published |
Publisher: | IEEE |
Identification Number: | 10.23919/ECC.2018.8550191 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:128269 |