The problems of construction of the reachable sets for stable oscillatory systems and its applications

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dc.audiencegeneralPublices_MX
dc.contributorAlexandrov, Vladimir
dc.contributor.authorKonovalenko, Iryna
dc.creatorKONOVALENKO, IRYNA; 592227
dc.date.accessioned2021-02-26T03:50:19Z
dc.date.available2021-02-26T03:50:19Z
dc.date.issued2020-08
dc.description.abstract“Reachable sets play a fundamental role in the theories of robust stability and the optimal control. The analysis of reachable sets gives a possibility to solve a wide class of problems related to the study of dynamic models in various elds of natural science. Specically, such analysis is widely used in rocket science [57], construction of automotive autopilots [26] or neural networks [73]. Therefore, researching and constructing the reachable sets is an actual problem nowadays. This work provides an algorithm which is a symbiosis of these two methods. On the one hand, this algorithm is a new method for constructing reachable sets for linear systems with variable coecients. On the other hand, it is possible to obtain an approximation of the reachable set for a nonlinear system. The sequence of reachable sets for a linear system, constructed in the neighborhood of the periodic attractor of a nonlinear system, is an approximation of the reachable set of nonlinear system.”es_MX
dc.folio20200817144018-4170-Tes_MX
dc.formatpdfes_MX
dc.identificator1es_MX
dc.identifier.urihttps://hdl.handle.net/20.500.12371/11356
dc.language.isoenges_MX
dc.matricula.creator217570114es_MX
dc.rights.accesopenAccesses_MX
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0es_MX
dc.subject.classificationCIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRAes_MX
dc.subject.lccTeoría de conjuntoses_MX
dc.subject.lccTeoría del control no lineales_MX
dc.subject.lccElectrofisiologíaes_MX
dc.subject.lccAparato vestibular--Investigaciónes_MX
dc.subject.lccMedicina--Matemáticases_MX
dc.subject.oclcModelo de Hodgkin y Huxleyes_MX
dc.thesis.careerDoctorado en Ciencias (Matemáticas)es_MX
dc.thesis.degreedisciplineÁrea de Ingeniería y Ciencias Exactases_MX
dc.thesis.degreegrantorFacultad de Ciencias Físico Matemáticases_MX
dc.titleThe problems of construction of the reachable sets for stable oscillatory systems and its applicationses_MX
dc.typeTesis de doctoradoes_MX
dc.type.conacytdoctoralThesises_MX
dc.type.degreeDoctoradoes_MX
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