Efimov, D, Schiffer, J orcid.org/0000-0001-5639-4326, Barabanov, N et al. (1 more author) (2017) A Relaxed Characterization of ISS for Periodic Systems with Multiple Invariant Sets. European Journal of Control, 37. pp. 1-7. ISSN 0947-3580
Abstract
A necessary and sufficient criterion to establish input-to-state stability (ISS) of nonlinear dynamical systems, the dynamics of which are periodic with respect to certain state variables and which possess multiple invariant solutions (equilibria, limit cycles, etc.), is provided. Unlike standard Lyapunov approaches, the condition is relaxed and formulated via a sign-indefinite function with sign-definite derivative, and by taking the system’s periodicity explicitly into account. The new result is established by using the framework of cell structure and it complements the ISS theory of multistable dynamics for periodic systems. The efficiency of the proposed approach is illustrated via the global analysis of a nonlinear pendulum with constant persistent input.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 European Control Association. Published by Elsevier Ltd. This is an author produced version of a paper published in European Journal of Control. Uploaded in accordance with the publisher's self-archiving policy. |
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: | 21 Apr 2017 16:03 |
Last Modified: | 17 May 2018 00:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.ejcon.2017.04.002 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:115272 |