Fast computation for matrices to compute a sequence of states from a discrete-time, time-varying state space model

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Michael Fink
Michael Fink le 2 Juin 2021
Modifié(e) : Michael Fink le 3 Juin 2021
Hello
I have the following linear discrete-time, time-varying state space model
No i want to compute a sequence of states from a sequence of inputs with the following equation:
My question is, how can i compute the augemented matrices and in a fast way (e.g. without loops, built-in function, ... ) for big N (e.g. N>100)?
The matrices and are already computed for all and they are saved in 3-dimensional arrays and .

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