dc.contributor.author | Ruderman, Michael | |
dc.date.accessioned | 2021-03-10T10:16:45Z | |
dc.date.available | 2021-03-10T10:16:45Z | |
dc.date.created | 2020-04-09T18:56:23Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Ruderman, M. (2020) On stability of linear dynamic systems with hysteresis feedback. Mathematical Modelling of Natural Phenomena, 15: 52. doi: | en_US |
dc.identifier.issn | 0973-5348 | |
dc.identifier.uri | https://hdl.handle.net/11250/2732577 | |
dc.description.abstract | The stability of linear dynamic systems with hysteresis in feedback is considered. While the absolute stability for memoryless nonlinearities (known as Lure’s problem) can be proved by the well-known circle criterion, the multivalued rate-independent hysteresis poses significant challenges for feedback systems, especially for proof of convergence to an equilibrium state correspondingly set. The dissipative behavior of clockwise input-output hysteresis is considered with two boundary cases of energy losses at reversal cycles. For upper boundary cases of maximal (parallelogram shape) hysteresis loop, an equivalent transformation of the closed-loop system is provided. This allows for the application of the circle criterion of absolute stability. Invariant sets as a consequence of hysteresis are discussed. Several numerical examples are demonstrated, including a feedback-controlled double-mass harmonic oscillator with hysteresis and one stable and one unstable poles configuration. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | EDP Sciences | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | On stability of linear dynamic systems with hysteresis feedback | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | © 2020 The Author(s). | en_US |
dc.subject.nsi | VDP::Matematikk og naturvitenskap: 400 | en_US |
dc.subject.nsi | VDP::Mathematics and natural scienses: 400 | en_US |
dc.source.pagenumber | 12 | en_US |
dc.source.volume | 15 | en_US |
dc.source.journal | Mathematical Modelling of Natural Phenomena | en_US |
dc.identifier.doi | 10.1051/mmnp/2020014 | |
dc.identifier.cristin | 1805789 | |
dc.source.articlenumber | 52 | |
cristin.qualitycode | 1 | |