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dc.contributor.authorZviagitceva, Tatiana E.-
dc.contributor.authorPliss, Viktor A.-
dc.identifier.citationZviagitceva T.E., Pliss V.A. Conditions for the global stability of a single system with hysteresis nonlinearity. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 2, pp. 227–235.en_GB
dc.description.abstractIn this paper, a two-dimensional automatic control system containing a single nonlinear hysteresis element of the general form is considered. Such systems represent mathematical models for real control systems, and have been considered in many papers on the subject. A system phase space, which is a manifold with boundary, is established. The conditions needed for the considered system to be globally stable, in a certain sense, are derived. A notion of ”sliding mode” is used in this paper. Refs 16. Figs 4.en_GB
dc.description.sponsorshipРабота выполнена при частичной финансовой поддержке РФФИ (грант №16-01-00452).en_GB
dc.publisherSt Petersburg State Universityen_GB
dc.relation.ispartofseriesVestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 4 (62); Issue 2-
dc.subjectsystem with hysteresisen_GB
dc.subjectglobal stabilityen_GB
dc.subjectsliding modeen_GB
dc.titleConditions for the global stability of a single system with hysteresis nonlinearityen_GB
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