Erretiroaren pentsioa eta adinez langile nagusien lan-bizitzaren luzamena

[Pentsio-sistema honela antolatzen da: lehen maila, kotizaziopeko pentsioak jasotzen ez dituztenei pentsioak ordaintzera bideratzen da; bigarren maila, Gizarte Segurantza edo kotizaziopeko pentsioena da; hirugarren maila, borondatezko gizarte-aurreikuspen osagarriari dagokio Euskal Autonomia Erkidegoan eta pentsio-planei Espainian. Bigarren mailan, Gizarte Segurantza banaketa-sisteman oinarritzen da. 2050ean erretiro-pentsioak finantzatzeko arazoak egotea espero da. Etorkizuneko egoerari aurre egiteko, 27/2011 Legearen eta 5/2013 Errege Lege Dekretuaren bitartez, erreformak burutu dira. Hirugarren mailan, Euskal Autonomia Erkidegoan gizarte-aurreikuspen osagarria Eusko Jaurlaritzaren esku dago eta Borondatezko Aurreikuspen Sozialeko Erakundeen (BASE) aurreikuspen-planak bertako pentsio-plan propioak dira. Lan honetan, batez ere, pentsio-sistemaren bigarren eta hirugarren mailak aztertuko ditut. Lehenengo marko teorikoa, ondoren alde praktikoa, eta azkenean datuetan oinarrituz proposamen batzuk eman eta ondorioak aterako ditut.]

An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems

This paper presents a vaccination strategy for fighting against the propagation of epidemic diseases. The disease propagation is described by an SEIR (susceptible plus infected plus infectious plus removed populations) epidemic model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes the contacts among susceptible and infected more difficult. The vaccination strategy is based on a continuous-time nonlinear control law synthesised via an exact feedback input-output linearization approach. An observer is incorporated into the control scheme to provide online estimates for the susceptible and infected populations in the case when their values are not available from online measurement but they are necessary to implement the control law. The vaccination control is generated based on the information provided by the observer. The control objective is to asymptotically eradicate the infection from the population so that the removed-by-immunity population asymptotically tracks the whole one without precise knowledge of the partial populations. The model positivity, the eradication of the infection under feedback vaccination laws and the stability properties as well as the asymptotic convergence of the estimation errors to zero as time tends to infinity are investigated.