How can i integrate this expression which includes matrices?

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,

Answer 1

[Star Strider]

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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