Solution of State Eqs when A matrix is Time dependent

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Barkan
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Hi all,

I am struggling to solve some simple state equations in the following form.

dx/dt = A x + bu

solution is simple if A has only constant elements, because i can multiply both sides with exp(-At) and solve.

in my case, A has time dependent elements. i know their functions. is there any particular solution for this case?

thank you in advance.
 
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