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dc.creatorMatallana Perez, Luis Geronimo-
dc.creatorBlanco, Anibal Manuel-
dc.creatorBandoni, Jose Alberto-
dc.date2018-08-30T19:59:20Z-
dc.date2018-08-30T19:59:20Z-
dc.date2010-08-
dc.date2018-08-21T13:43:03Z-
dc.date.accessioned2019-04-29T15:46:02Z-
dc.date.available2019-04-29T15:46:02Z-
dc.date.issued2010-08-
dc.identifierMatallana Perez, Luis Geronimo; Blanco, Anibal Manuel; Bandoni, Jose Alberto; Estimation of domains of attraction: A global optimization approach; Pergamon-Elsevier Science Ltd; Mathematical And Computer Modelling; 52; 3-4; 8-2010; 574-585-
dc.identifier0895-7177-
dc.identifierhttp://hdl.handle.net/11336/57776-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/301499-
dc.descriptionIn this paper a methodology for the estimation of domains of attraction of stable equilibriums based on maximal Lyapunov functions is proposed. The basic idea consists in finding the best level set of a Lyapunov function which is fully contained in the region of negative definiteness of its time derivative. An optimization problem is formulated, which includes a tangency requirement between the level sets and constraints on the sign of the numerator and denominator of the Lyapunov function. Such constraints help in avoiding a large number of potential dummy solutions of the nonlinear optimization model. Moreover, since global optimality is also required for proper estimation, a deterministic global optimization solver of the branch and bound type is adopted. The methodology is applied to several examples to illustrate different aspects of the approach. © 2010 Elsevier Ltd.-
dc.descriptionFil: Matallana Perez, Luis Geronimo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina-
dc.descriptionFil: Blanco, Anibal Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina-
dc.descriptionFil: Bandoni, Jose Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Planta Piloto de Ingeniería Química. Universidad Nacional del Sur. Planta Piloto de Ingeniería Química; Argentina-
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dc.languageeng-
dc.publisherPergamon-Elsevier Science Ltd-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1016/j.mcm.2010.04.001-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0895717710001913-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectDOMAINS OF ATTRACTION-
dc.subjectGLOBAL OPTIMIZATION-
dc.subjectLYAPUNOV FUNCTION-
dc.subjectNONLINEAR DYNAMIC SYSTEMS-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleEstimation of domains of attraction: A global optimization approach-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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