dc.contributorEscolas::EMAp
dc.contributorFGV
dc.creatorBliman, Pierre-Alexandre
dc.creatorBarros, Bettina D'Avila
dc.date.accessioned2018-10-25T18:23:36Z
dc.date.accessioned2022-11-03T20:12:52Z
dc.date.available2018-10-25T18:23:36Z
dc.date.available2022-11-03T20:12:52Z
dc.date.created2018-10-25T18:23:36Z
dc.date.issued2017
dc.identifier9783319542102
dc.identifier0170-8643
dc.identifierhttp://hdl.handle.net/10438/25273
dc.identifier10.1007/978-3-319-54211-9_3
dc.identifier2-s2.0-85017502660
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/5033840
dc.description.abstractEpidemic models describe the establishment and spread of infectious diseases. Among them, the SIR model is one of the simplest, involving exchanges between three compartments in the population, that represent respectively the number of susceptible, infective and recovered individuals. The issue of state estimation is considered here for such a model, subject to seasonal variations and uncertainties in the transmission rate. Assuming continuous measurement of the number of new infectives per unit time, a class of interval observers with estimate-dependent gain is constructed and analyzed, providing lower and upper bounds for each state variable at each moment in time. The dynamical systems that describe the evolution of the errors are monotonous. Asymptotic stability is ensured by appropriate choice of the gain components as a function of the state estimate, through the use of a common linear Lyapunov function. Numerical experiments are presented to illustrate the method. © Springer International Publishing AG 2017.
dc.languageeng
dc.publisherSpringer Verlag
dc.relationLecture Notes in Control and Information Sciences
dc.rightsopenAccess
dc.sourceScopus
dc.subjectInterval observer
dc.subjectLinear lyapunov functions
dc.subjectMathematical epidemiology
dc.subjectMonotone systems
dc.subjectSIR model
dc.subjectUncertain systems
dc.subjectAsymptotic stability
dc.subjectDynamical systems
dc.subjectEstimation
dc.subjectFunctions
dc.subjectLyapunov functions
dc.subjectNumerical methods
dc.subjectState estimation
dc.subjectContinuous measurements
dc.subjectInterval observers
dc.subjectLower and upper bounds
dc.subjectNumerical experiments
dc.subjectTransmission rates
dc.subjectEpidemiology
dc.titleInterval observers for SIR epidemic models subject to uncertain seasonality
dc.typeBook Chapter


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