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