dc.contributor.author | Ruderman, Michael | |
dc.date.accessioned | 2020-05-19T11:30:43Z | |
dc.date.available | 2020-05-19T11:30:43Z | |
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 In: Mathematical Modelling of Natural Phenomena. 15(2). 12p. DOI: | en_US |
dc.identifier.issn | 1760-6101 | |
dc.identifier.uri | https://hdl.handle.net/11250/2654968 | |
dc.description.abstract | 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.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 | acceptedVersion | en_US |
dc.subject.nsi | VDP::Mathematics and natural science: 400::Mathematics: 410 | en_US |
dc.source.pagenumber | 12 | en_US |
dc.source.journal | Mathematical Modelling of Natural Phenomena | en_US |
cristin.ispublished | false | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |