The problems of construction of the reachable sets for stable oscillatory systems and its applications
dc.audience | generalPublic | es_MX |
dc.contributor | Alexandrov, Vladimir | |
dc.contributor.author | Konovalenko, Iryna | |
dc.creator | KONOVALENKO, IRYNA; 592227 | |
dc.date.accessioned | 2021-02-26T03:50:19Z | |
dc.date.available | 2021-02-26T03:50:19Z | |
dc.date.issued | 2020-08 | |
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.folio | 20200817144018-4170-T | es_MX |
dc.format | es_MX | |
dc.identificator | 1 | es_MX |
dc.identifier.uri | https://hdl.handle.net/20.500.12371/11356 | |
dc.language.iso | eng | es_MX |
dc.matricula.creator | 217570114 | es_MX |
dc.rights.acces | openAccess | es_MX |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | es_MX |
dc.subject.classification | CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA | es_MX |
dc.subject.lcc | Teoría de conjuntos | es_MX |
dc.subject.lcc | Teoría del control no lineal | es_MX |
dc.subject.lcc | Electrofisiología | es_MX |
dc.subject.lcc | Aparato vestibular--Investigación | es_MX |
dc.subject.lcc | Medicina--Matemáticas | es_MX |
dc.subject.oclc | Modelo de Hodgkin y Huxley | es_MX |
dc.thesis.career | Doctorado en Ciencias (Matemáticas) | es_MX |
dc.thesis.degreediscipline | Área de Ingeniería y Ciencias Exactas | es_MX |
dc.thesis.degreegrantor | Facultad de Ciencias Físico Matemáticas | es_MX |
dc.title | The problems of construction of the reachable sets for stable oscillatory systems and its applications | es_MX |
dc.type | Tesis de doctorado | es_MX |
dc.type.conacyt | doctoralThesis | es_MX |
dc.type.degree | Doctorado | es_MX |
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