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10<br />

AURORA: uitbreiden met onzekerheid op de invoer<br />

c( k 1) M c( k), u(<br />

k)<br />

A<br />

u(k<br />

Onzekerheid op de invoer toevoegen dmv factoren, f:<br />

f ( k) max 0,1 ( k)<br />

2<br />

( k 1) ( k) 1 w( k)<br />

c( k 1) M c( k), λ( k), u(<br />

k)<br />

0<br />

A<br />

λ( k 1) Ψλ(<br />

k)<br />

Σ<br />

x( k 1) M x( k), u( k) Gw(<br />

k)<br />

w(<br />

k)<br />

U(k): Invoer (emissies,meteo,…)<br />

C(k): concentraties<br />

)<br />

MA: niet lineaire operator<br />

α : tijdscorrelatie [0,1]<br />

σ: standaard deviatie λ(k)<br />

w(k) ~ N(0,1)<br />

Ψ<br />

Σ<br />

R<br />

R<br />

n n<br />

n n<br />

diag 1, 2,<br />

,<br />

diag 1 , , 1<br />

n<br />

2 2<br />

1 1 n n

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