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dc.contributor.authorRuderman, Michael
dc.date.accessioned2020-05-19T11:30:43Z
dc.date.available2020-05-19T11:30:43Z
dc.date.created2020-04-09T18:56:23Z
dc.date.issued2020
dc.identifier.citationRuderman, 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.issn1760-6101
dc.identifier.urihttps://hdl.handle.net/11250/2654968
dc.description.abstractAbstract. 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.isoengen_US
dc.titleOn stability of linear dynamic systems with hysteresis feedbacken_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US
dc.description.versionacceptedVersionen_US
dc.subject.nsiVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.source.pagenumber12en_US
dc.source.journalMathematical Modelling of Natural Phenomenaen_US
cristin.ispublishedfalse
cristin.fulltextpostprint
cristin.qualitycode1


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