how to solve 2 or several differential matrix equations (a system of two equations including 2 matrix equations)?

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Hi
How can I solve the following 2 equations, in which u and i are vector matrices:
diff(i) = A.u + B.i
diff(u) = C.u + D.i
NOTE :
All the parameters A, B, C, D and also u and i are matrices. At first glance, it looks like a "state space" model, but it's not so! In state-space model, the variants are NOT matrices but single variables, but in this case u and i are vectors (matrices).
Can someone help with that please?
thanks a lot

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