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How can i integrate this expression which includes matrices?

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Hi,
I have two matrices and will use them to have discrete form of state space. For this purpose, i have to implement some of integration procedures.
My A and B matrices are [ 1 2 ; 3 4] and [ 5 ; 6] respectively. T equals to 1.
How can i find the result of this formula?
Thanks,

Accepted Answer

Star Strider
Star Strider on 2 Jul 2021
Try this —
A = [1 2; 3 4];
B = [5; 6];
B_d = integral(@(sigma)expm(A.*sigma), 0, 1, 'ArrayValued',1)*B
B_d = 2×1
132.4387 285.4127
See the documentation on integral for details.
.

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