3 - State-space models
Scheduled date: Fri Mar 27
Lecture slides Download Lecture slides
Lecture notes Download Lecture notes: 3.1–3.4
Exercises Download Exercises: 2.1ab, 2.2, 2.3, 2.4. Repetition: 2.1c, 2.5, 2.6
Zoom Meeting, Mar 30 (Mon) 13:15-15:00
https://lu-se.zoom.us/j/225410138,
Links to an external site. Meeting ID: 225 410 138
Webinar (2/4 15:15):
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https://lu-se.zoom.us/j/510063638
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Meeting ID: 510 063 638
Lecture material
First-principle modelling:
First-principle modelling examples:
Introduction to state space models:
State space system example (to be added):
Solving linear systems:
Stability:
Exercise 2.4
Webinar
Extra material
Compartment models have many uses. One is to model epidemics. The simplast flavor of such models is the SIR model. The population is divided into three fractions: Susceptible, Infected, and Removed. (Removed are either recovered and immune or dead). Since S+I+R = constant, it is enough to introduce two states, for example x1 = S and x2 = I. Here's an interactive SIR model simulator Links to an external site..
Video on eigenvalues and stability (2x2 case)
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